Farad Cobb had 12 points for the Mocs (11-16, 6-7 Southern Conference), who have won three of their past four after four-game losing streak.
Colin Reddick and Stephen Croone scored 12 points each, with Croone grabbing nine rebounds, and Bryant Irwin had 10 points for the Paladins (6-18, 3-10), who have lost four in a row, six of their past seven and are 1-11 on the road.
Chattanooga shot 34 of 77 from the field, while Furman was 19 of 51.
Chattanooga led 15-7 on Martynas Bareika's jumper with 13:03 left on the way to a 39-27 advantage at halftime.
The Mocs pushed their lead to 48-30 only 2:04 into the second half and pulled away for the easy victory.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.