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Newt Gingrich appeared on "Fox and Friends" this morning and praised Donald Trump, saying the billionaire businessman is running "one of the most remarkable campaigns in American history."

Gingrich, who has been rumored as a possible running mate for Trump, said that he hasn't had any discussions about the vice president position, but there are a "number of very qualified people."

Gingrich threw out several names, including New Mexico Gov. Susana Martinez, South Carolina Gov. Nikki Haley and Oklahoma Gov. Mary Fallin.

He added that several of Trump's former GOP rivals, such as Wisconsin Gov. Scott Walker, Ohio Gov. John Kasich and Florida Sen. Marco Rubio, could also be good options.

Steve Doocy pointed out that several of those potential running mates are women, and asked if that means Trump should strongly consider having a female on the ticket.

"It's obvious when you sit down and look at it that you're trying to beat Hillary Clinton," Gingrich said.

He added, however, that the criteria for the pick is pretty simple, regardless of gender: Can this person be president? Do they share Trump's values? Can they help politically?

See Gingrich weigh in on other candidates to fill out Trump's cabinet above.

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