Dower provided 18 points to go with nine rebounds and Harris added 17 points for the Bulldogs (8-0), who improved to 5-0 at home.
Kelly Olynyk went 7-of-9 from the field on his way to 15 points and Kevin Pangos also reached double figures for Gonzaga with 12.
Pacific (3-4) was led by Travis Fulton with 15 points.
Lorenzo McCloud added 14 and Trevin Harris supplied 11 for the Tigers.
Senate Democrats to pull all-nighter on climate change
Dennis Rodman pledges to end trips to North Korea