TRUMP: I'm not dropping out

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Republican presidential nominee Donald Trump insisted Saturday morning that he'd never withdraw from the race, even as pressure mounts for him to step aside amid uproar over vulgar comments he made in 2005 that surfaced in a recording released Friday.

"I'd never withdraw," Trump told Washington Post political reporter Robert Costa. "I've never withdrawn in my life. No, I'm not quitting this race. I have tremendous support."

PHOTOS: Donald Trump supporters

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Donald Trump supporters
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Donald Trump supporters
A masked supporter dances before Republican U.S. presidential candidate Donald Trump arrives at a campaign town hall event in Wausau, Wisconsin April 2, 2016. REUTERS/Ben Brewer
U.S. Republican presidential candidate Donald Trump greets supporters at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
Supporters cheer for U.S. Republican presidential candidate Donald Trump at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
People say the pledge of allegiance before listening to U.S. Republican presidential candidate Donald Trump speak at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
Supporters wait for U.S. Republican presidential candidate Donald Trump to speak at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
Supporters cheer for U.S. Republican presidential candidate Donald Trump as he speaks at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
Supporters (L-R) Annalisa Wales, 12, Scarlett Wales, 9, Barbara Wales, 68, and Katherine Wales, 10, wait for U.S. Republican presidential candidate Donald Trump to speak at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
Supporters cheer for U.S. Republican presidential candidate Donald Trump at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
U.S. Republican presidential candidate Donald Trump greets supporters at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
U.S. Republican presidential candidate Donald Trump greets supporters at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
U.S. Republican presidential candidate Donald Trump greets supporters at a campaign rally in San Jose, California, U.S. June 2, 2016. REUTERS/Lucy Nicholson
People listen to U.S. Republican presidential candidate Donald Trump speak at a campaign rally in Sacramento, California, U.S. June 1, 2016. REUTERS/Lucy Nicholson
A man carries a sign for Republican U.S. presidential candidate Donald Trump at the Rolling Thunder motorcycle rally to highlight POW-MIA issues on Memorial Day weekend in Washington, U.S. May 29, 2016. REUTERS/Jonathan Ernst
People watch Republican U.S. presidential candidate Donald Trump address the Rolling Thunder motorcycle rally to highlight POW-MIA issues on Memorial Day weekend in Washington, U.S. May 29, 2016. REUTERS/Jonathan Ernst
Supporters attend a rally with Republican U.S. presidential candidate Donald Trump in San Diego, California, U.S. May 27, 2016. REUTERS/Jonathan Ernst
Marcos Spence solicits volunteers to work for the campaign of Republican U.S. presidential candidate Donald Trump as they stand in line before the start of his rally in Albuquerque, New Mexico, U.S. May 24, 2016. REUTERS/Jonathan Ernst
A supporter holds a sign as Republican U.S. presidential candidate Donald Trump holds a rally in Anaheim, California, U.S. May 25, 2016. REUTERS/Jonathan Ernst
Supporters line up to enter a convention center where U.S. Republican presidential candidate Donald Trump holds a campaign rally in Anaheim, California, United States May 25, 2016. REUTERS/Mike Blake
Supporters of Republican U.S. Presidential candidate Donald Trump arrive before Trump speaks at a campaign event in Anaheim, California U.S. May 25, 2016. REUTERS/Mike Blake
A supporter of Republican U.S. Presidential candidate Donald Trump holds a sign before Trump speaks at a campaign event in Anaheim, California U.S. May 25, 2016. REUTERS/Mike Blake
Supporters of Republican U.S. Presidential candidate Donald Trump arrive before Trump speaks at a campaign event in Anaheim, California U.S. May 25, 2016. REUTERS/Mike Blake
Supporters of Republican U.S. presidential candidate Donald Trump stand in line before the start of his rally in Albuquerque, New Mexico, U.S. May 24, 2016. REUTERS/Jonathan Ernst FOR EDITORIAL USE ONLY. NO RESALES. NO ARCHIVES.
A supporter of Republican U.S. presidential candidate Donald Trump attends a Trump campaign rally at the Verizon Wireless Arena in Manchester, New Hampshire, February 8, 2016. REUTERS/Rick Wilking
A supporter of Republican U.S. presidential candidate Donald Trump wearing a "Trump for President '16" t-shirt listens to the candidate speak at a campaign rally at the airport in Hagerstown, Maryland, U.S. On April 24, 2016. REUTERS/Jim Bourg/File Photo
Activists of Hindu Sena, a Hindu right-wing group, perform a special prayer to ensure a victory of Republican U.S. presidential candidate Donald Trump in the upcoming elections, according to a media release, in New Delhi, India May 11, 2016. REUTERS/Anindito Mukherjee
Supporters hold signs as Republican U.S. presidential candidate Donald Trump speaks during a campaign rally in Lynden, Washington, U.S., May 7, 2016. REUTERS/Jim Urquhart
Supporters cheer as Republican U.S. presidential candidate Donald Trump speaks during a campaign rally in Lynden, Washington, U.S., May 7, 2016. REUTERS/Jim Urquhart
Supporters hold signs as Republican U.S. presidential candidate Donald Trump speaks during a campaign rally in Lynden, Washington, U.S., May 7, 2016. REUTERS/Jim Urquhart
A supporter of Republican presidential candidate Donald Trump holds a sign during a rally in Spokane, Wash., Saturday, May 7, 2016. (AP Photo/Ted S. Warren)
Delegate Douglas Marshall in the Donald Trump booth during the second day of the Republican Party of Texas state convention on May 13, 2016 in Dallas. (Paul Moseley/Fort Worth Star-Telegram/TNS via Getty Images)
Supporters look on as Republican presidential candidate Donald Trump speaks at a rally Saturday, May 7, 2016, in Lynden, Wash. (AP Photo/Elaine Thompson)
A supporter of U.S. Republican presidential candidate Donald Trump holds a sign during a campaign event at Grumman Studios in Bethpage, New York April 6, 2016. REUTERS/Shannon Stapleton
A supporter of U.S. Republican presidential candidate Donald Trump takes a photo during a campaign event at Grumman Studios in Bethpage, New York April 6, 2016. REUTERS/Shannon Stapleton
Republican U.S. presidential candidate Donald Trump supporters Josh (R), and his father Jeff Schimek (L), wait for him to speaks during a Town Hall at the Racine Civic Centre Memorial Hall April 2, 2016. REUTERS/Kamil Krzaczynski EDITORIAL USE ONLY. NO RESALES. NO ARCHIVE
Supporters (L) of Republican U.S. presidential candidate Donald Trump point and scream at an anti-Trump demonstrator (R) holding a sign reading "More Like Make America Racist Again" sign during a Trump campaign rally in Fountain Hills, Arizona March 19, 2016. REUTERS/Ricardo Arduengo TPX IMAGES OF THE DAY
A supporter of U.S. Republican presidential candidate Donald Trump attends a campaign rally in De Pere, Wisconsin, United States, March 30, 2016. REUTERS/Jim Young
Bob Bolus, a supporter of U.S. Republican presidential candidate Donald Trump, gives the thumbs up to drivers as they pass by on Super Tuesday in Middleburg Heights, Ohio March 15, 2016. REUTERS/Aaron Josefczyk
Rosemary Harder wears a hat supporting Republican U.S. presidential candidate Donald Trump during a news conference, after the Florida, Ohio, North Carolina, Illinois and Missouri primary elections, held at his Mar-A-Lago Club, in Palm Beach, Florida March 15, 2016. REUTERS/Joe Skipper
Supporter of U.S. Republican presidential candidate Donald Trump Alex Stypik joins Trump (L) on stage at a campaign rally in Bloomington, Illinois March 13, 2016. REUTERS/Jim Young
A Trump supporter (R) yells at a demonstrator (L) after Republican U.S. presidential candidate Donald Trump cancelled his rally at the University of Illinois at Chicago March 11, 2016. REUTERS/Kamil Krzaczynski TPX IMAGES OF THE DAY
Supporters of Republican U.S. presidential candidate Donald Trump cheer on their candidate at a Trump campaign rally in New Orleans, Louisiana March 4, 2016. REUTERS/Layne Murdoch Jr.
A supporter of U.S. Republican presidential candidate Donald Trump attends a campaign rally in Cadillac, Michigan, March 4, 2016. REUTERS/Jim Young
A supporter of Republican U.S. presidential candidate Donald Trump holds up a sign at a campaign rally at Valdosta State University in Valdosta, Georgia February 29, 2016. REUTERS/ Philip Sears
A supporter of Republican U.S. presidential candidate Donald Trump celebrates with a cigar at Trump's 2016 South Carolina presidential primary night rally in Spartanburg, South Carolina February 20, 2016. REUTERS/Jonathan Ernst
A campaign volunteer for U.S. Republican presidential candidate Donald Trump wears a hat signed by Trump during a rally with supporters in Gaffney, South Carolina February 18, 2016. REUTERS/Jonathan Ernst
Freda Green, of Louisiana, wears a hat in support of Republican U.S. presidential candidate Donald Trump before a rally in Baton Rouge, Louisiana February 11, 2016. REUTERS/Jonathan Bachman
A veteran of both the Korean and the Vietnam War, C.J. Dauzt wears a sticker in support of Republican U.S. presidential candidate Donald Trump before a rally in Baton Rouge, Louisiana in Baton Rouge, Louisiana February 11, 2016. REUTERS/Jonathan Bachman
10-year-old Ian Linden, of New Orleans, holds a sign in support of Republican U.S. presidential candidate Donald Trump before a rally in Baton Rouge, Louisiana February 11, 2016. REUTERS/Jonathan Bachman
Supporter of U.S. Republican presidential candidate Donald Trump wait for the start of his campaign rally in Plymouth, New Hampshire February 7, 2016. REUTERS/Jim Bourg
Anne-Sophie Marquis cradles her doll Clare, wearing a button supporting U.S. Republican presidential candidate Donald Trump, at a Trump campaign rally in Plymouth, New Hampshire February 7, 2016. REUTERS/Rick Wilking
Young supporters of Republican U.S. presidential candidate businessman Donald Trump wait for Trump to speak at a veteran's rally in Des Moines, Iowa January 28, 2016. REUTERS/Aaron P. Bernstein
Mark Palzer shows his support for U.S. Republican presidential candidate Donald Trump before a campaign rally at Oral Roberts University in Tulsa, Oklahoma January 20, 2016. REUTERS/Nick Oxford
Barbara Tomasino shows her support for U.S. Republican presidential candidate Donald Trump before a campaign rally at Oral Roberts University in Tulsa, Oklahoma, January 20, 2016. REUTERS/Nick Oxford
Supporters of U.S. Republican presidential candidate Donald Trump attend a campaign rally at Oral Roberts University in Tulsa, Oklahoma, January 20, 2016. REUTERS/Nick Oxford
Liberty University students and supporters of Republican presidential candidate Donald Trump wear letters spelling his name before his speech at Liberty University in Lynchburg, Virginia, January 18, 2016. REUTERS/Joshua Roberts
A supporter of U.S. Republican presidential candidate Donald Trump wears a National Rifle Association shirt before his speech at Liberty University in Lynchburg, Virginia, January 18, 2016. REUTERS/Joshua Roberts
Trump supporters Joshua Smith (from Left) and Seth Stephens, both of Aiken, South Carolina and Rona Bartolomucci of Hilton Head Island, wait along the front buffer before a rally for U.S. Republican presidential candidate Donald Trump at the Westin Hilton Head Island Resort and Spa in Hilton Head Island, South Carolina, December 30, 2015. REUTERS/Randall Hill
FOUNTAIN HILLS, AZ - MARCH 19: Supporters of Republican presidential candidate Donald Trump look on during Fountain Park during a campaign rally on March 19, 2016 in Fountain Hills, Arizona. Trumps visit to Arizona is the second time in three months as he looks to gain the GOP nomination for President. (Photo by Ralph Freso/Getty Images)
SALT LAKE CITY, UT - MARCH 18: A supporter waits for Republican presidential candidate Donald Trump speak at a campaign rally on March 18, 2016 in Salt Lake City, Utah. The Republican and Democratic caucuses are March 22. (Photo by George Frey/Getty Images)
A supporter of Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, wears campaign stickers on her sandals before a town hall event at the Tampa Convention Center in Tampa, Florida, U.S., on Monday, March 14, 2016. As protesters shadow campaign appearances by Trump, the billionaire has shifted a planned Monday-night rally in south Florida to Ohio, where polls show Governor John Kasich may be pulling ahead days before the states primary election. Photographer: Andrew Harrer/Bloomberg via Getty Images
Trump supporters pass out signs prior to a rally for Republican presidential candidate Donald Trump on March 13, 2016 in Boca Raton, Florida. Primary voters head to the polls on March 15th in Florida. / AFP / RHONA WISE (Photo credit should read RHONA WISE/AFP/Getty Images)
Attendees wait for the start of a campaign event with Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, not pictured, in Bloomington, Illinois, U.S., on Sunday, March 13, 2016. After violent protests prompted Donald Trump to cancel a rally in Chicago on Friday night, the Republican presidential front-runner blamed the activist group MoveOn.Org and supporters of Senator Bernie Sanders for the chaos, while defending his own harassed supporters. Photographer: Daniel Acker/Bloomberg via Getty Images
Donald Trump, president and chief executive of Trump Organization Inc. and 2016 Republican presidential candidate, left, stands with a man he called onto the stage from the crowd because of the 'Legal Immigrant For Trump' t-shirt he was wearing, during a campaign event in Bloomington, Illinois, U.S., on Sunday, March 13, 2016. After violent protests prompted Donald Trump to cancel a rally in Chicago on Friday night, the Republican presidential front-runner blamed the activist group MoveOn.Org and supporters of Senator Bernie Sanders for the chaos, while defending his own harassed supporters. Photographer: Daniel Acker/Bloomberg via Getty Images
CHICAGO, IL - MARCH 11: A supporter exists the University of Illinois at Chicago Pavilion where Republican presidential candidate Donald Trump cancelled a campaign rally over safety concerns March 11, 2016 in Chicago, Illinois. The Illinois Republican presidential primary will be held March 15. (Photo by Jonathan Gibby/Getty Images)
Supporters of Republican Presidential candidate Donald Trump gather prior to a Trump Rally at the Peabody Opera House on March 11, 2016 in St. Louis, Missouri. / AFP / Michael B. Thomas (Photo credit should read MICHAEL B. THOMAS/AFP/Getty Images)
Supporters of Republican Presidential candidate Donald Trump gather prior to a Trump Rally at the Peabody Opera House on March 11, 2016 in St. Louis, Missouri. / AFP / Michael B. Thomas (Photo credit should read MICHAEL B. THOMAS/AFP/Getty Images)
RADFORD, VA - FEBRUARY 29: A campaign rally for Donald J. Trump, candidate for the Republican presidential nomination, at the Radford University Dedmon Arena in Radford, Virginia, on Monday, February 29, 2016. (Photo by Benjamin Lowy/Getty Images Reportage)
A woman reacts as U.S. Republican presidential candidate Donald Trump works the crowd following a campaign event in an airplane hanger in Rome, New York April 12, 2016. REUTERS/Carlo Allegri
A woman reacts as U.S. Republican presidential candidate Donald Trump works the crowd following a campaign event in an airplane hanger in Rome, New York April 12, 2016. REUTERS/Carlo Allegri
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Despite growing calls from prominent Republicans asking Trump to leave the race, Trump insists that he's also hearing people tell him to stay in.

"People are calling and saying, 'Don't even think about doing anything else but running,'" he told Costa. "You have to see what's going on. The real story is that people have no idea the support. I don't know how that's going to boil down but people have no idea the support."

RELATED: 30 former GOP congressmen come out against Trump

31 PHOTOS
30 former GOP congressmen come out against Trump
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30 former GOP congressmen come out against Trump

Bob Bauman (R-MD)

(Photo via US Government/Wikipedia)

Steve Bartlett (R-TX)

(Photo via US Government/Wikipedia)

Sherwood Boehlert (R-NY)

(Photo by Chris Kleponis/Bloomberg via Getty Images)

Jack Buechner (R-MO)

(Photo via US Government/Wikipedia)

Tom Campbell (R-CA)

(Photo by Douglas Graham/Congressional Quarterly/Getty Images)

Bill Clinger (R-PA)

(Photo via US Government/Wikipedia)

Tom Coleman (R-MO)

(Photo via US Government/Wikipedia)

Geoff Davis (R-KY)

(Photo By Bill Clark/Roll Call via Getty Images)

Mickey Edwards (R-OK)

(Photo via US Government/Wikipedia)

Harris Fawell (R-IL)

(Photo via US Government/Wikipedia)

Ed Foreman (R-TX) (R-NM)

(Photo via US Government/Wikipedia)

Amo Houghton, Jr. (R-NY)

(Photo via US Government/Wikipedia)

Gordon Humphrey (Senator, R-NH)

(AP Photo/Mark J. Terrill)

Bob Inglis (R-SC)

(AP Photo/ Richard Shiro)

Jim Kolbe (R-AZ)

(AP Photo/Hussein Malla)

Steve Kuykendall (R-CA)

(AP Photo/Lenny Ignelzi)

Jim Leach (R-IA) 

(Photo by Matthew Staver/Bloomberg via Getty Images)

Pete McCloskey (R-CA)

(AP Photo/Rich Pedroncelli)

Connie Morella (R-MD)

(Photo by Susan Biddle/The Washington Post/Getty Images)

Mike Parker (R-MS)

(AP Photo/Rogelio Solis)

Tom Petri (R-WI)

(AP Photo/Charles Dharapak, File)

John Porter (R-IL)

(Photo by Scott J. Ferrell/Congressional Quarterly/Getty Images)

Claudine Schneider (R-RI)

(Photo via US Government/Wikipedia)

John "Joe" Schwarz (R-MI)

(Photo via US Government/Wikipedia)

Chris Shays (R-CT)

(Photo By Tom Williams/CQ Roll Call)

Peter Smith (R-VT)

(Photo via US Government/Wikipedia)

Edward Weber (R-OH)

(Photo via US Government/Wikipedia)

Vin Weber (R-MN)

(Photo by Joshua Roberts/Bloomberg via Getty Images)

G. William Whitehurst (R-VA)

(Photo via US Government/Wikipedia)

Dick Zimmer (R-NJ) 

(AP Photo/Mel Evans)

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This is a developing story...

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