Should Trump and Biden run again? Both parties are split, new poll suggests.

Neither President Biden nor former President Donald Trump has the full backing of his party to seek a second term, a new poll suggests.

The survey, conducted by CNN, "found that 45 percent of Democratic and Democratic-leaning voters wanted to see the party renominate Biden in 2024, while 51 percent preferred a different candidate."

Among Republicans and those leaning Republican, 50 percent of voters say that want Trump to run again while 49 percent say they'd rather have a different candidate.

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On the Republican side, there's a clear runner-up to Trump — 21 percent of those who'd rather Trump sit out 2024 said they want Florida Gov. Ron DeSantis (R) to be the GOP nominee. All other potential Republican candidates polled at 1 percent or less.

The Democratic faction enjoys no such consensus. The highest-polling alternative to Biden is Sen. Bernie Sanders (I-Vt.) at 5 percent, followed closely by former first lady Michelle Obama at 4 percent. Vice President Kamala Harris polled at only 2 percent.

Twenty-two percent of Republicans and Republican-leaning independents who don't want Trump to run and 35 percent of Democrats and Democratic-leaning independents who don't want Biden to run said they'd prefer a different nominee for 2024 because they don't think their candidate would win.

The survey of 1,572 respondents was conducted between Jan. 10 and Feb. 6 and has an error margin of 3.6 percent.