Silfverberg scored 58 seconds into the game to give the Ducks a 1-0 lead, skating into the left circle following a face-off win by Adam Henrique and beating Grubauer glove side.
After the goal, the Ducks didn't get another shot on goal until 10:31 of the first period while on a power play.
"There were a few times in the game where we got hemmed in with their skill," Eakins said. "Guys stayed positive through it, but lots of chatter. I liked our energy. I thought we were physical at the right times and, obviously, our goaltender was excellent."
Rakell gave Anaheim its first two-goal lead of the season when he scored off a centering pass from Ryan Getzlaf at 9:05 of the second period.
"[Getzlaf] is still one of the best passers in the game. Big and strong," Rakell said. "For me and (Max) Jones just find the open ice and he's going to find us. We're working on the chemistry and trying to work on plays that are going to help us score goals going forward."
Rantanen ended Gibson's shutout bid when he scored for the fifth straight game to cut it to 2-1 at 14:46 of the third period.
"Yeah it's frustrating for sure. I think we played a pretty good game," Rantanen said. "We had so many chances to score and just couldn't find (a way). Probably have to give credit to the goalie obviously but, I think we could have done some things better in the O-zone. Just get more bodies in front of Gibson, I think we made it pretty easy for him."
Hampus Lindholm scored into an empty net with 1:40 remaining for the 3-1 final. It was the first time Anaheim has scored at least three goals this season.
The Avalanche, who hit the crossbar three times in the first period, outshot the Ducks 10-1 in the third.
"I loved our work ethic," Bednar said. "I thought we competed in all areas of the game. We were creating some real good offensive zone time."
The Ducks killed all four power plays by the Avalanche, who came in 10-for-25 with the man-advantage this season.
"That is just pure will on the penalty kill," Eakins said. "We're getting huge blocked shots, our pressure is much higher at the opportune times, and we're getting those 200-foot clearances. We had a tough time with that last year."
NOTES:Anaheim is 17-for-19 on the penalty kill this season (89.5 percent). ... Avalanche forward Andre Burakovsky returned after missing the past three games with an upper-body injury. He was minus-1 in 13:16. ... Ducks forward Sonny Milano missed his second straight game with an upper-body injury.
