Cuttino ran for 205 yards on 17 carries and scored three touchdowns, including a 71-yarder in the second quarter that made it 27-0.
Gowins had 278 yards on 19 carries and also scored three touchdowns, including a 29-yarder late in the second quarter and a 62-yarder early in the third.
Stony Brook (4-6) averaged over 10 yards on its 63 rushing attempts and attempted only seven passes. The Seawolves completed three for 33 yards.
The Football Championship Subdivision for rushing yards in a game is 681 by Missouri State against Southern Missouri in 1988.