Marcus Paige added 14 points, while Brice Johnson pulled down 13 rebounds and J.P. Tokoto had eight assists.
The Tar Heels led 46-27 at halftime then shot 62 percent after the break. Juwan Addison scored 17 points for the Division II Broncos. Fayetteville State shot 31 percent for the game.
Before the game, UNC announced that senior reserve Luke Davis has a stress fracture in his right foot that will require surgery. Davis, one of four potential point guards on the roster, will miss two to three months.