Gabbert completed 17 of 25 passes for 256 yards and tied his career high with three TD throws. He ran 40 yards for another score.
Missouri (3-0) scored its first touchdown on a 40-yard pass from receiver Danario Alexander to fellow wideout Jared Perry. The play started with a cross-field lateral from Gabbert to Alexander.
Perry added a 48-yard TD catch on the Tigers' next possession and set career highs with seven catches for 161 yards. Alexander also caught two TD passes.
Missouri led 42-0 at halftime before Furman (2-1) scored on a 21-yard pass from Jordan Sorrells to Tyler Maples.