Barca shrugged off the absence of Neymar and Lionel Messi as Pedro took centre stage, scoring the club's fastest La Liga hat-trick since Dani's in September 1999 to move to 10 league goals for the season.
Getafe had taken a surprise lead after 10 minutes when Sergio Escudero beat Jose Pinto at close quarters following good work by Angel Lafita to create the chance.
Neymar was ruled out with suspension, while Gerardo Martino was also without Messi and Xavi due to injury.
However, the visitors were boosted by the return of Dani Alves following a calf injury, with Pedro and Alexis Sanchez called on to supply Barca's firepower.
But, against the run of play, the hosts took the lead with a well-worked move as Escudero applied the finish to Lafita's neat backheel.
Getafe, who were beaten 4-1 in the corresponding fixture last season, doubled their lead after 14 minutes thanks to Lopez's header, leaving Martino's men stunned.
The first arrived after 34 minutes when, having been played in by Fabregas, the forward hoisted the ball over Moya and, while the goalkeeper got a touch to it, he was unable to keep the ball from finding the back of the net.
Pedro completed his hat-trick before the interval, cutting in from the left and firing into the far corner for the first and finishing emphatically inside the area for the second.
Getafe started the second half strongly and almost leveled 14 minutes in, with Diego Castro outsmarting Pique in the box and curling an effort wide of Pinto's right-hand post.
However, despite the home side's endeavour, Barca's cutting edge proved too much for Getafe to cope with as Fabregas volleyed home Pedro's cross at the far post to move two goals clear.
The midfielder added a second from the spot three minutes later after Pedro was felled in the box by Borja, with Barcelona able to comfortably see out the game and ensure they go into the winter break top on goal difference.
