New York Gov. Andrew Cuomo Andrew CuomoThe Hill's Morning Report - Sponsored by Facebook - Trump, GOP allies prepare for SCOTUS nomination this week Fearless Girl statue in NYC dressed in lace collar to honor Ruth Bader Ginsburg NYT editorial board remembers Ginsburg: She 'will forever have two legacies' MORE (D) on Monday was repeatedly questioned by his brother, CNN's Chris Cuomo Chris CuomoCNN's Lemon: 'We're going to have to blow up the entire system' if Democrats win back White House, Senate Giuliani criticizes NYC leadership: 'They're killing this city' CNN's Don Lemon calls on Biden to 'stand at a podium' in addressing violence MORE, about whether the governor was thinking about, had ever thought about or might ever think about running for president.

Each time the governor had the same answer: "No."

During an interview on "Cuomo Prime Time," the two brothers spoke about the governor's political ambitions, as well as New York's efforts to battle the spread of coronavirus, on which Andrew Cuomo has taken to giving daily news briefings.

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"With all of this adulation you're getting for doing your job, are you thinking about running for president?" Cuomo asked his brother.

"No, no," the governor responded curtly.

"No, you won't answer?" the CNN host shot back.

Chris Cuomo then launched a barrage of questions at the governor, including whether Andrew Cuomo might consider a run in the future or whether he was even open to discussions, to all of which the elder Cuomo responded, "No."

New York Gov. Andrew Cuomo says he has no plans to ever run for President, has not considered it, and will never consider it. https://t.co/igWoHEPPNm pic.twitter.com/fv1bVgfSNm — Cuomo Prime Time (@CuomoPrimeTime) March 31, 2020

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The back-and-forth comes as some on social media have pushed the prospect of the governor running for president. President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE earlier in the day said during interview on “Fox & Friends” that he “wouldn’t mind running against Andrew” as he criticized former Vice President Joe Biden Joe BidenOmar fires back at Trump over rally remarks: 'This is my country' Trump mocks Biden appearance, mask use ahead of first debate Trump attacks Omar for criticizing US: 'How did you do where you came from?' MORE, the front-runner for the Democratic presidential nominee.

Cuomo has frequently denied presidential aspirations in recent days, telling MSNBC earlier Monday that he did not want to engage Trump in political games.

"I am not engaging the president in politics," said Cuomo. "My only goal is to engage the president in partnership. This is no time for politics. I am not going to get into a political dispute with the president."

"I'm not running for president," he added.