"Mean" Joe Greene holds the record for most sacks in a month for the Pittsburgh Steelers.
The 1984 Chicago Bears who had 72 sacks.
There isn't really a record kept for fewest sacks in a season by a player, as there are thousands of NFL players who have not had any sacks. Michael Strahan holds the record for most sacks in a season, at 22 1/2.
The Chicago Bears hold the NFL team record with 72 sacks in 1984.
Texas A&M 1991 - 56 sacks
7 sacks by Derrick Thomas played on Kansas Cheifs
Michael Strahan, N.Y. Giants, 2001: 22.5 sacks