The home team took the lead after just five minutes. The ball ended up in the hands of midfield star Nahir Besara, who easily rolled in 1-0 - his fifth goal of the group stage.
"Bajen" then continued to dominate, increasing the lead twice to 3-0 at halftime.
In the second half, Hammarby added four more goals for a 7-0 final score. The victory meant that Hammarby won the group after three straight victories.
The reigning Swedish champions Mjällby also advanced to the quarterfinals after a 2-1 victory over Värnamo.
Gais became the third team to reach the quarterfinals after a crushing 5-1 home win in the group final against IFK Norrköping. Gais led 3-0 at halftime.
