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House Oversight Committee Chairman Jason Chaffetz Jason ChaffetzThe myth of the conservative bestseller Elijah Cummings, Democratic chairman and powerful Trump critic, dies at 68 House Oversight panel demands DeVos turn over personal email records MORE (R-Utah) on Wednesday questioned whether Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE improperly shared classified information like former CIA Director David Petraeus.

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Asked on "Fox and Friends" whether Clinton's exclusive use of a personal email address during her time as secretary of State raised national security concerns, Chaffetz said, "It does beg the question: Were there any sort of classified pieces of information that were flowing through her personal email account?"

"Which is something you can't do and something yesterday Gen. Petraeus had to plead guilty to, or was going out in a deal, dealing with his personal email and interaction with somebody who didn't have a classification," Chaffetz added.

Petraeus reached a plea deal, the Justice Department announced Tuesday, over charges he failed to turn over for archiving small record books kept while commanding U.S. forces in Afghanistan, instead providing them and their classified information to his mistress, Paula Broadwell, who wrote a biography of the Army general.

State Department spokeswoman Marie Harf said Tuesday, "we have no indication that Secretary Clinton used her personal email account for anything but unclassified purposes," adding that Clinton used secure phone calls, aides or took other steps to send sensitive messages and has turned over some emails for archiving.

"To maximize transparency, they're supposed to adhere to the law, which, for her, means complying with the Federal Records Act," Chaffetz said of Clinton on Fox.

Earlier this week, Chaffetz said his committee would join the House Select Committee on Benghazi to further explore Clinton's use of personal emails. Rep. Trey Gowdy (R-S.C.), the chairman of that committee, said Clinton might have to testify several times before the panel, even into 2016.

The New York Times reported this week that Clinton, the presumed Democratic presidential frontrunner, used a private email address exclusively during her four-year tenure at the State Department, ending in 2013, potentially breaking federal rules. Aides have handed over some emails to the Benghazi panel, the report noted.

“Like secretaries of State before her, she used her own email account when engaging with any department officials,” Clinton spokesman Nick Merrill said in a statement. “For government business, she emailed them on their department accounts, with every expectation they would be retained.”

Clinton sent emails over her own server, The Associated Press reported Wednesday.

"She did not maximize the transparency that she said she would," Chaffetz said on Fox.

He also pushed back on an ABC News report showing his Gmail address on his official business card, noting that members of Congress are not subject to the Federal Records Act, and the card was paid for with campaigns funds.

Asked on Fox why any perceived comparison between Clinton and Chaffetz is inaccurate, he said, "Well that's like comparing apples to a boat."