He played college football for the Rutgers Scarlet Knights and was selected by the Chicago Bears in the fourth round of the 2013 NFL draft.

During his time at Avon Old Farms he was part of the school's first ever New England track championship along with former New York Giants running back Michael Cox.

As a senior in 2012, Greene recorded 136 tackles and six sacks with two interceptions, six forced fumbles and two touchdowns via fumble recoveries,[1] and was named the Big East Defensive Player of the Year and a first-team All-American by ESPN.

[2] Greene was selected in the fourth round (117th pick overall) by the Chicago Bears, the second linebacker taken by the team.

[7] In March 2014, Greene tweeted that he will change his number from #59 to #52, in honor of Rutgers teammate Eric LeGrand.