Chicago earned the No. 5 seed in the Eastern Conference and will open the playoffs by playing on the road against Brooklyn.
Boozer also had 15 rebounds while Hinrich and Nazr Mohammed both had 18 for the Bulls.
Washington wound up its season at 29-53, producing its largest victory total in five seasons. The Wizards, however, lost their last six games.
Price led Washington with 24 points off the bench.
Notable deaths of 2014 [PHOTOS]
Julius Randle breaks leg during NBA debut