The Gators trailed 48-45 with about 6 minutes to play before seniors Scottie Wilbekin, Casey Prather and Pat Young took over.
Wilbekin hit a baseline floater, Prather followed with his first of two spinning layups and then Florida (11-2) went ahead for good on Young's three-point play.
Dorian Finney-Smith's 3-pointer gave the Gators some cushion down the stretch, and they closed it out from the free throw line - barely.
Florida missed six of its final eight free throws in the final minute.
Young finished with 15 points for Florida, which won its 23rd consecutive home game. Prather had 12 and Wilbekin added 10.
Next up for Florida is the start of SEC play as South Carolina visits the O'Connell Center next Wednesday, tip off is at 7PM.