The Gators (7-2) put the game away with a 21-0 streak midway through the initial half, rebounding from a 10-3 deficit to open the game.
Dorian Finney-Smith finished with 15 points as Florida got back on the winning track following a loss to Connecticut in its previous contest.
Casey Prather chipped in 12 points and eight rebounds.
The Jayhawks (6-3) committed 25 turnovers in falling for the third time in four games.
Andrew Wiggins accounted for 26 points and 10 rebounds for Kansas.