As of Wednesday afternoon, the number of those Republicans hit 21 -- surpassing the magic 17 votes needed to pass a clean funding bill if all 200 Democrats stick together and team up with them. Of course, House Speaker John Boehner (R-Ohio) would have to be willing to put that bill on the floor in the first place. But if he did, the votes appear to be there for passage, at which point the bill would sail through the Senate and be signed by President Barack Obama, ending the shutdown.
Here's who those House Republicans are, and why they say they're done with trying to force through provisions to delay or defund Obamacare in order to keep the government running. We'll update the list when, or if, more come in.
Rep. Scott Rigell (R-Va.): “Time for a clean [continuing resolution].” [Official Twitter, 10/1/13]
Rep. Jon Runyan (R-N.J.): “Enough is enough. Put a clean [continuing resolution] on the floor and let’s get on with the business we were sent to do." [Burlington County Times, 10/1/13]
Rep. Mike Fitzpatrick (R-Pa.): A Fitzpatrick aide tells the Philadelphia Inquirer the congressman would support a clean funding bill if it came up for a vote. [Philadelphia Inquirer, 10/1/13]
Rep. Lou Barletta (R-Pa.): Barletta said he would "absolutely" vote for a clean bill in order to avert a shut down of the government. [Bethlehem Morning Call, 10/1/13]
Rep. Peter King (R-N.Y.): King thinks House Republicans would prefer to avoid a shutdown and said he will only vote for a clean continuing resolution to fund the government, according to the National Review Online. [NRO, 9/30/13]
Rep. Devin Nunes (R-Calif.): The California Republican told The Huffington Post he would ultimately support a clean continuing resolution. [Tweet by The Huffington Post's Sabrina Siddiqui, 9/30/13]
Rep. Charlie Dent (R-Pa.): “I'm prepared to vote for a clean [continuing resolution].” [The Huffington Post, 9/29/13]
Rep. Frank Wolf (R-Va.): A Wolf aide told The Hill that he agrees with fellow Virginia Rep. Scott Rigell (R) that it's time for a clean continuing resolution. [The Hill, 10/1/13]
Rep. Michael Grimm (R-N.Y.): A Grimm aide told The Huffington Post that the congressman supports a clean continuing resolution. [10/1/13].
Rep. Erik Paulsen (R-Minn.): A local news anchor in Minnesota tweeted that Paulsen told him he would vote for a clean resolution if given the chance. [Blake McCoy Tweet, 10/1/13]
Rep. Rob Wittman (R-Va.): A constituent of Wittman's sent The Huffington Post an email she got from the congressman indicating he would vote for a clean funding bill but hasn't had "an opportunity to do so at this point." [10/1/13]
Rep. Frank LoBiondo (R-N.J.): LoBiondo told The Press of Atlantic City he'll support "whatever gets a successful conclusion" to the shutdown and a clean funding bill "is one of those options." [The Press of Atlantic City, 10/1/13]
Rep. Randy Forbes (R-Va.): Forbes told The Virginian-Pilot that he supports the six-week clean funding bill that passed in the Senate. [The Virginian-Pilot, 10/2/13]
Rep. Jim Gerlach (R-Pa.): The congressman issued a statement saying he would "vote in favor of a so-called clean budget bill." [Office of Rep. Jim Gerlach, 10/2/13].
Rep. Leonard Lance (R-N.J.): Lance's chief of staff confirmed to The Huffington Post that he told a constituent on Wednesday that Lance has voted for clean government funding bills in the past "and would not oppose doing so again should one be brought to the floor." [10/2/13]
Rep. Mike Simpson (R-Idaho): Simpson told a Roll Call reporter Tuesday night, "I'd vote for a clean CR because I don't think this is a strategy that works." [Daniel Newhauser Tweet, 10/1/13]
Rep. Bill Young (R-Fla.): Young told Tampa Bay Times reporter Alex Leary that he's ready to vote for a clean funding bill. "The politics should be over," he said. "It's time to legislate." [Alex Leary Tweet, 10/2/13]
Rep. Mario Diaz-Balart (R-Fla.): The congressman told Miami Herald reporter Marc Caputo that he would vote for a clean funding bill, provided it has the same funding levels contained in the Senate-passed bill. [The Miami Herald, 10/2/13]
Rep. Richard Hanna (R-N.Y.): "I would take a clean (continuing resolution)." [Observer-Dispatch, 10/2/13]
Rep. Rodney Davis (R-Ill.): A Davis constituent tells The Huffington Post that a Davis aide told him Wednesday, "Congressman Davis is prepared to vote 'yes' on a clean CR." Asked for comment, Davis spokesman Andrew Flach told HuffPost that Davis isn't "going to speculate" on what bills may come up in the House and "will continue to vote for proposals brought to the floor that will fund the federal government." [10/2/2013]
Rep. Tim Griffin (R-Ark.): Asked on Twitter if he would support a clean funding bill if it came up for a vote, Griffin tweeted, "sure. Ive already said i would support." [Official Twitter, 10/2/13].