Adelaide has suffered a disappointing 67-point loss against the Giants at Adelaide Oval on Saturday.
GWS banked a third win in four games with a resounding 15.16 (106) to 4.15 (39) victory in Round Seven.
Hogan, in his first game for the club after stints at Melbourne and Fremantle, formed a dangerous forward line with fellow talls Harry Himmelberg (three goals) and Sam Reid (two goals).
Adelaide's in-form forward Taylor Walker booted two goals while onballer Ben Keays (28 disposals), acting captain Tom Doedee (22 touches, nine marks) and Paul Seedsman (27 possessions) battled against the tide.
Walker marked just 15 seconds into the game and converted from outside 50 metres - but it was Adelaide's sole goal in the opening term.
The Giants controlled play but were cruelled by wayward goalkicking early - they led 1.8 to 1.1 at quarter-time and had lost Brent Daniels to a hamstring strain.
GWS made their move in the second stanza, booting five goals to one for a 32-point halftime advantage, 6.12 to 2.4 and continued strong in the second half.
Crows utilty David Mackay suffered a hip pointer in the second term but was able to return following treatment. He will be monitored throughout the week.
ADELAIDE 1.1 2.4 3.9 4.15 (39)
GWS 1.8 6.12 10.14 15.16 (106)
Adelaide: Walker 2, Murphy, Murray
GWS: Hogan 4, Himmelberg 3, Green 2, Reid 2, Greene, Hill, Kelly, O’Halloran
Adelaide: Keays, Sholl, Laird, Seedsman, Walker
GWS: Kelly, Taranto, Hopper, Whitfield, Hogan, Perryman, Himmelberg
Adelaide: Mackay (hip)
GWS: Daniels (hamstring), Buntine (concussion)
GWS: Buntine (replaced Daniels)