Robert Lewandowski's scoring streak ended and Benjamin Pavard was sent off, but Bayern Munich still cruised to a 3-1 victory over Greuther Furth in the Bundesliga.

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.

Lewandowski was unable to match Gerd Muller's record of scoring in 16 consecutive Bundesliga games, but Julian Nagelsmann's moved three points clear at the summit.

Bayern wasted no time in stamping their authority on the game, with Leon Goretzka's early long-range drive flashing just wide.

The champions 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 were unable to live with Bayern and Kimmich doubled their 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 they were 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 their 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.