Mitt Romney Willard (Mitt) Mitt RomneyGOP set to release controversial Biden report McConnell locks down key GOP votes in Supreme Court fight Will Republicans' rank hypocrisy hinder their rush to replace Ginsburg? MORE (R) on Thursday officially filed his paperwork to run in Utah to replace retiring Sen. Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R).

“Today, I visited the office of LG @SpencerJCox to officially file for the US Senate race,” Romney tweeted, along with a photo of him signing election documents.

“In the month since I announced my candidacy, I’ve driven nearly 4,000 miles to meet with Utahns in 20 counties. Hope I’ll get a chance to meet you soon and earn your vote,” he added.

Today, I visited the office of LG @SpencerJCox to officially file for the US Senate race. In the month since I announced my candidacy, I’ve driven nearly 4,000 miles to meet with Utahns in 20 counties. Hope I’ll get the chance to meet you soon and earn your vote. pic.twitter.com/LHaq6FRkCz — Mitt Romney (@MittRomney) March 15, 2018

Romney, the former Massachusetts governor and 2012 Republican presidential nominee, announced last month in an online video that he would run for Senate.

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“I believe I can help bring Utah’s values and Utah’s lessons to Washington. Utah is a better model for Washington than Washington is for Utah,” he said in the video.

Romney is not expected to face a primary challenge, and is heavily favored over his presumptive Democratic opponent, Salt Lake City councilwoman Jenny Wilson, according to polls.

He has frequently sparred with President Trump Donald John TrumpBiden leads Trump by 36 points nationally among Latinos: poll Trump dismisses climate change role in fires, says Newsom needs to manage forest better Jimmy Kimmel hits Trump for rallies while hosting Emmy Awards MORE. Romney blasted then-candidate Trump in a March 2016 speech as a “phony” who was taking over the Republican Party.

Since Trump took office, he has hit the president for supporting Alabama Senate candidate Roy Moore Roy Stewart MooreVulnerable Senate Democrat urges unity: 'Not about what side of the aisle we're on' Sessions hits back at Trump days ahead of Alabama Senate runoff Judge allows Roy Moore lawsuit over Sacha Baron Cohen prank to proceed MORE and for reportedly referring to Haiti and African nations as “shithole countries.”

However, Trump tweeted his support for Romney's campaign after the initial announcement, and Romney expressed appreciation in return.

.@MittRomney has announced he is running for the Senate from the wonderful State of Utah. He will make a great Senator and worthy successor to @OrrinHatch, and has my full support and endorsement! — Donald J. Trump (@realDonaldTrump) February 20, 2018