Timme, a player of the year candidate, led all scorers with 22 points, Julian Strawther added 16 and six Zags finished in double figures.
Anton Watson had 10 points, four rebounds, four assists and five steals for Gonzaga (1-0), which won its 68th consecutive home game, the nation’s longest such streak.
“I think he was terrific in the first half,” Few said of Watson. “He got us going and made a lot of plays.”
The Bulldogs, who have led the nation in scoring for four consecutive seasons, shot 63% in the game while holding the Ospreys to 36%.
Carter Hendricksen scored 16 points, Jadyn Parker 13 and Jose Placer 12 for North Florida (0-1), a veteran-laden team from the Atlantic Sun Conference that returned its top four scorers from last season.
“You can’t let someone go on a 26-0 run,” North Florida coach Matthew Driscoll said. “We had too many turnovers that led to easy baskets.”
Transfer Malachi Smith had seven points during the big Gonzaga run and finished with 15.
“Malachi is getting a little more comfortable out there and getting more assertive,” Few said.
The Bulldogs closed the first half with an 11-2 run, holding North Florida without a field goal for the final 4:30, to take a 53-23 halftime lead.
Gonzaga shot 65% in the first half, led by Timme’s 16 points, while the Ospreys shot 28%. North Florida committed 13 turnovers in the first, which Gonzaga converted into 20 points.
Rasir Bolton hit a pair of 3-pointers as Gonzaga pushed its lead to 71-34 with 15 minutes left in the game. North Florida did not threaten again.
North Florida returned Placer (14.7 points per game), Hendricksen (12.2 ppg), Jarius Hicklen (12 ppg) and Parker (8.3 ppg) from last year’s team. “This isn’t the first rodeo for these guys,” Driscoll said. “We play this kind of schedule every year.”
Timme and Strawther were named Monday to the 50-player watch list for the Naismith Trophy, presented annually to college basketball’s top player. Timme was an Associated Press second-team All-America last season and won the Karl Malone Award, presented to the nation’s top power forward.
North Florida: The Ospreys were picked to finish fifth in the A-SUN coaches’ poll. They finished 11-20 last season, 7-9 in the league. North Florida also faces No. 3 Houston and No. 4 Kentucky this year.
Gonzaga: The Zags largely succeeded in avoiding the rough second half performances that showed up in exhibition games against Tennessee and NAIA Warner Pacific. They have won 18 consecutive regular-season openers.
North Florida plays at Washington on Friday.
Gonzaga plays Michigan State on an aircraft carrier in San Diego on Friday.
AP college basketball: https://apnews.com/hub/college-basketball and https://apnews.com/hub/ap-top-25-college-basketball-poll and https://twitter.com/AP_Top25