In a Bavarian derby battle between top and bottom on Friday, Bayern were in control at half-time following goals from Thomas Muller and Joshua Kimmich at Sportpark Ronhof.
There was hope for Furth when France full-back Pavard was shown a straight red card early in the second half for a professional foul on Jeremy Dudziak.
The champions remained a class apart from their newly-promoted opponents despite Pavard's dismissal and a Sebastian Griesbeck own goal increased their advantage, with a late Cedric Itten header no more than a consolation for the home side.