It was the first time Auburn (4-5) has won consecutive games this season after also beating Grambling 92-42 on Dec. 11. Furman fell to 3-6.
Denson scored 12 of his points in the first half as the Tigers took a 35-20 lead. Senior guard and Southeastern Conference-leading scorer Frankie Sullivan had seven points in the first half and finished with 11 points.
Price was 4 for 4 on 3-pointers and is 8 for 8 from behind the arc in his last two games.
Auburn transfer center Asauhn Dixon-Tatum, playing extended minutes with starting center Rob Chubb in foul trouble, had a career-high nine rebounds with six points. Each of Dixon-Tatum's rebounds came in the first half.
Auburn weathered an early 7-2 deficit, finishing the first half on a 12-3 run. Furman guard Bobby Austin tipped a loose ball into Auburn's basket at the first-half buzzer, and the points were awarded to Sullivan.
Auburn made 8 of 17 (47.7 percent) 3-pointers in the first half, while Furman struggled to bust the Tigers' zone defense on the other end. The Paladins shot 16 for 52 (30.8 percent) from the field, and 5 of 22 (22.7 percent) from behind the arc.