Rodney McGruder added 13 points and six boards as the Wildcats (9-2) used an 11-2 run late in the second half to pull away and win for the fourth time in five outings.
Kansas State cleaned up at the foul line, sinking 20-of-29 free throws.
Patric Young provided 19 points and 10 rebounds, but it wasn't enough for the Gators (8-2), who fell for the second time in three games.
Florida's Kenny Boynton was held to 11 points.
Notable deaths of 2014 [PHOTOS]