Geoffrey George Fenner Greig (15 August 1897 – 24 October 1960) was an English first-class cricketer.
He was a right-handed batsman and right arm fast bowler who played 18 times for Worcestershire (and twice for Oxford University) in the early 1920s.
After another game for the county a few days later, he played his two matches for Oxford, though met with little success in either of them.
In Worcestershire's final game of the 1920 County Championship, Greig enjoyed his best performance with the ball, claiming 7–86 in Lancashire's first innings, five of the dismissed batsmen being out bowled.
His feat was in vain, however, as Lancashire triumphed by nine wickets to leave the county languishing in 16th place in the final Championship table.