Degenhardt had 267 yards passing for the Crusaders (4-4, 2-0 Patriot League). Dominic Cozier ran for 153 yards on 17 carries and Peter Oliver ran for 46 yards and a score.
Holy Cross outgained Colgate 502-344.
Degenhardt had two touchdown throws in the second quarter, beginning with a 31-yard strike to Ayir Asante and following up with a 13-yard TD pass to Tenio Ayendi to give Holy Cross a 21-3 advantage at halftime.
His 58-yard touchdown pass to Asante midway through the third extended the Crusaders lead to 28-3 and Derek Ng's 20-yard field goal late in the quarter made it 31-3.
Grant Breneman threw for 248 yards for the Raiders (1-8, 0-3). His 24-yard touchdown throw went to Garrett Oakey late in the fourth quarter.
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