The Jazz opened the game by committing five turnovers in the first five minutes.
Still, Denver owned only a 12-8 lead before defenseless Utah allowed the Nuggets to convert 11 of their final 14 possessions.
Despite eight points on 4-for-4 shooting by Jefferson, the Jazz trailed at the end of the first quarter, 35-24.
Utah fought back early in the second quarter and closed within four, 45-41, on a basket by Favors with seven minutes left.
Denver quickly counter-attacked, however, and Danilo Gallinari's uncontested three-pointer from the corner triggered a 12-3 run, which included back-to-back dunks by Andre Iguodala and Kenneth Faried.
The Nuggets eventually took a 65-54 lead at halftime. JaVale McGee and Faried scored 10 points each to lead Denver, which shot 73 percent.
Denver still owned a 67-55 lead with six minutes left in the third quarter. But Randy Foye and Marvin Williams each scored five points and the Jazz used a 14-0 run to get back into the game.
It was 84-84 heading into the wild fourth quarter.