In a Bavarian derby battle between top and bottom sides, Bayern was in control at half-time after 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 champion remained a class apart from its newly-promoted opponent despite Pavard's dismissal and a Sebastian Griesbeck own goal increased its advantage, with a late Cedric Itten header no more than a consolation for the home side.
Lewandowski was unable to match Gerd Muller's record of scoring in 16 consecutive Bundesliga games, but Julian Nagelsmann's side moved three points clear at the summit.
Bayern wasted no time in stamping its authority on the game, with Leon Goretzka's early long-range drive flashing just wide.
The visitors were in front in the 10th minute, when Thomas Muller finished clinically with his left foot after Maximilian Bauer could only divert Alphonso Davies's cross into his path.
Furth was unable to live with Bayern and Kimmich doubled its lead just after the half-hour mark with a measured right-footed strike from 25 yards out after Leroy Sane laid the ball back to him.
Lewandowski flicked Kimmich's corner against the crossbar as Bayern dominated, but it was a man down when Pavard was given his marching orders for upending Dudziak three minutes into the second half.
Bayern continued to pose a major threat despite its numerical disadvantage, Sascha Burchert getting down to keep out Lewandowski's first-time shot.
Nagelsmann was shown a yellow card for dissent before Kimmich's free-kick was turned into his own net by Griesbeck, under pressure from Lewandowski.
Itten nodded in Timothy Tillman's inviting cross with a couple of minutes remaining, but the points were in the bag by then for Bayern.