Cal led by as many as 15 points midway through the second half, but the Utes pulled within 58-55 on Jason Washburn's 3-pointer with 55 seconds remaining.
David Kravish missed at the other end for the Golden Bears (11-7, 3-3 Pac-12) but poked the rebound out to Crabbe, who was fouled and sank two free throws with 17 seconds left.
Freshman Brandon Taylor missed a 3-pointer with 11 seconds left for the Utes (9-10, 1-6), and Justin Cobb grabbed the rebound and sank a pair of free throws to seal the win for Cal.
Cal used a 13-0 run midway through the first half to take a commanding lead.
Utah shot better from the floor than Cal did but committed 17 turnovers, including six by Jordan Loveridge.
More Sports Headlines
Seahawks' Chancellor reportedly seeking more money, may hold out UW coach Petersen not looking forward to Boise return Big humpy run forecast by experts D-backs rock Felix, sweep M's with 8-2 win South Snohomish advances to West Region semifinals AquaSox fall to Volcanoes 5-4 in 10 after late miscue M’s notebook: Cano sits with abdominal strain Report: Phillies agree to trade Hamels to Texas
Our new comment system is not supported in IE 7. Please upgrade your browser here.