An 8-0 run, which included five points by Eric Gaines, gave the Golden Flashes (10-3) a 36-25 lead with 3:13 remaining in the first half and they led 44-31 at halftime.
Kent State pushed its lead to 20 points, 59-39, with 14:04 left in the game and it never led by fewer than 15 points after that.
Greene passed Chris Singletary to become Kent State's 12th-highest career scorer. He now has 1,249. His three steals gave him 99 for his career.