Question: Hundred Reasons and The Fiery Furnaces, have which mutual genre?

Context paragraphs:
Pancake Mountain: Pancake Mountain is a children's television show based in Washington, D.C. Created by filmmaker Scott Stuckey (of the famous Stuckey's family), it is notable for featuring many punk rock/indie rock musicians like The White Stripes, Eddie Vedder, Fat Mike, The Melvins, Kings of Leon, Henry Rollins, Shirley Manson, Daniel Johnston, Tegan and Sara, Katy Perry, Bright Eyes, Deerhoof, Ted Leo and the Pharmacists, The Fiery Furnaces, Thievery Corporation, Arcade Fire, Built to Spill, Jenny Lewis, Metric and many others.  The show is hosted by a goat puppet named Rufus Leaking, superhero Captain Perfect and his slightly more sensible foil Garnett who serve as interviewers and dance-party impresarios.  Interviews have included George Clinton, Juliette Lewis, and Chuck Leavell among others.

Winter Women and Holy Ghost Language School: Winter Women and Holy Ghost Language School are two albums by Matthew Friedberger of The Fiery Furnaces recorded, unlike The Fiery Furnaces records, without his sister Eleanor Friedberger.  Though two separate albums, they were released together as a double album by 859 Recordings in August 2006.  It was rereleased in October 2009 on Thrill Jockey Records.

The Vox Jaguars: The Vox Jaguars was a North American rock band that formed in Santa Cruz, California in 2006.  They began their career with performances in local coffee houses and record stores.  They are influenced by artists such as The Stooges, MC5, The Velvet Underground, and other Protopunk artists.  The Vox Jaguars are well known for their energetic live performances, and have performed with The Fiery Furnaces, Big Brother & The Holding Company, Grand Ole Party, and Scissors For Lefty.  The Vox Jaguars have been part of the garage rock revival, and have influenced many indie artists in the Santa Cruz area of California (No Age, Foreign Born).  No Age said they were their "favorite new band".

Last Summer (album): Last Summer is the first solo album released by American indie pop musician Eleanor Friedberger, most notable for being the vocalist in the band The Fiery Furnaces with her brother Matthew Friedberger.  The album was released on 12 July 2011 on the Merge Records record label.

The Fiery Furnaces: The Fiery Furnaces are an American indie rock band, formed in 2000 in Brooklyn, New York.  The band's primary members are Matthew and Eleanor Friedberger.  The siblings are originally from Oak Park, Illinois, a near-western suburb of Chicago.  They are known for their conceptual, highly ambitious releases, which have frequently divided critical opinion.

I'm Going Away (disambiguation): I'm Going Away is an album by The Fiery Furnaces

Hundred Reasons: Hundred Reasons are an English alternative rock band from Aldershot, Hampshire, formed in 1999.  The band consists of Colin Doran (vocals), Larry Hibbitt (guitar, vocals), Andy Gilmour (bass) and Andy Bews (drums).

Bitter Tea: Bitter Tea is the fifth full-length album by The Fiery Furnaces, released on April 18, 2006 via Fat Possum in the U.S and Rough Trade in the UK.  After it leaked onto the internet on February 22, the band immediately started selling the CD on tour.

Take Me Round Again: Take Me Round Again is The Fiery Furnaces' ninth album.  It was first released, in MP3 format, through Thrill Jockey Records, in November 2009.  The album is being described as "The Friedbergers cover the Friedbergers,"

I'm Going Away: I'm Going Away is The Fiery Furnaces' eighth album.  It was released, on CD and LP, on July 21, 2009 in the US and August 24, 2009 in the UK.

Supporting paragraphs: Hundred Reasons The Fiery Furnaces
Answer: rock