The Washington Redskins. I dont know how many but a lot. Edit: It has been 26 coaches since 1932 I believe. Should be the most but not sure.
The state of Ohio has produced more nfl head coaches than any other state.
Why do NFL team coaches have a vertical stripe on the back of their team shirts
As of May 2014, the Pittsburgh Steelers has had a total of 17 head coaches. The current coach has been with the team for 16 years.
Through Super Bowl XLIII, no NFL team has won Super Bowls with four different head coaches. The most is 3 by the Steelers (Noll, Cowher, Tomlin) and Cowboys (Landry, Johnson, Switzer).
None of the active NFL head coaches have been enshrined in the Pro Football Hall of Fame.
As of the start of the 2007 season, there is no limit to the number of coaches a team may have.