Kevin-Prince Boateng was on target for Las Palmas in their 5-1 win.
Ghana international Boateng, who also scored in last weekend's 4-2 win at Valencia, headed home on the 52nd minutes in the second half. French winger Nabil El Zhar buried the ball in the bottom left corner to open the scoring at Estadio Gran Canaria, but the hosts levelled on the stroke of half-time through Jeremie Boga.
Boateng restored the hosts' lead with a goal on his home debut after heading home to put Los Amarillos back in front six minutes after the restart, but the midfielder was then forced off through injury.
Experienced winger Momo, who replaced Boateng, tapped in the fourth three minutes later. Granada's miserable afternoon was complete five minutes from time when Argentinian forward Araujo found the bottom left corner from close range.