Burks put in 21 points and Favors supplied 20 as the Jazz ended a three-game losing streak.
Marvin Williams helped out with 19 points and seven rebounds.
Gordon Hayward distributed 10 assists for Utah.
Rajon Rondo returned from a one-game absence to supply 18 points and 10 assists for the Celtics, losers of five straight.
Jeff Green and Kelly Olynyk each added 21 for Boston.