Chris Otule added 11 points on 5-of-5 shooting for Marquette in his first game since suffering a season-ending knee injury eight games into last season.
It was Marquette's season opener after its game against No. 4 Ohio State aboard the USS Yorktown in South Carolina was cancelled Friday night due to condensation on the floor.
The Golden Eagles never trailed against the Raiders. They led 42-31 at halftime and pulled away late, using a 12-4 run starting with 15:04 minutes left to take a 66-46 lead with 10:39 remaining. Colgate got no closer than 15 the rest of the way.