Question: Guitarist Dave Gregory is known best for his work with a rock band  lead by what two songwriters?

Context paragraphs:
The Dukes of Stratosphear: The Dukes of Stratosphear were an English rock band formed in 1984 by Andy Partridge, Colin Moulding, Dave Gregory, and Ian Gregory.  Modeled after psychedelic pop groups from the 1960s, the Dukes were initially publicised by Virgin Records as a mysterious new act, but were actually an XTC spin-off band.  The project amounted to the albums "25 O'Clock" (1985) and "Psonic Psunspot" (1987).  In the UK, the records outsold XTC's then-current albums "The Big Express" (1984) and "Skylarking" (1986).

Dave Matthews Band: Dave Matthews Band, also known by the initialism DMB, is an American rock band that was formed in Charlottesville, Virginia in 1991.  The founding members were singer-songwriter and guitarist Dave Matthews, bassist Stefan Lessard, drummer and backing vocalist Carter Beauford, and saxophonist LeRoi Moore.  Boyd Tinsley joined the band as a violinist soon after the band was formed.  Moore died suddenly in August 2008 due to complications from injuries sustained in an ATV accident.  Grammy Award winner Jeff Coffin (of Béla Fleck and the Flecktones) has since filled Moore's spot as the band's saxophonist; trumpeter Rashawn Ross and guitarist Tim Reynolds have also become full-time members of the band.  Other past members include keyboardists Peter Griesar and Butch Taylor.  The group's 2009 album "Big Whiskey & the GrooGrux King", their first after Moore's death, debuted at number one on the "Billboard" 200, earning them their fifth consecutive number-one debut; their most recent album, 2012's "Away from the World", debuted at number one on the Billboard chart, making Dave Matthews Band the first group to have six consecutive studio albums debut in the top spot (Metallica would be the second to do so in 2016).  As of 2010, the Dave Matthews Band has sold over 50 million records worldwide.

Drums and Wires: Drums and Wires is the third studio album by the English band XTC, released on 17 August 1979, on the Virgin record label.  The album marked the debut of Dave Gregory, who joined the band as lead guitarist following keyboardist Barry Andrews' departure in early 1979.  Gregory went on to remain with the group up until 1998, during the recording of "Apple Venus Volume 1".

Big Big Train: Big Big Train are an English progressive rock band formed in Bournemouth in 1990.  The current line-up consists of Nick D'Virgilio (drums), Dave Gregory (guitars), Rachel Hall (violin and vocals), David Longdon (vocals, flute, keyboards and guitars), Danny Manners (keyboards and bass), Andy Poole (guitars, bass and keyboards), Rikard Sjöblom (keyboards and guitars) and Gregory Spawton (bass, guitars and keyboards).  Until 2009, the band were mostly as a studio project band headed by Spawton and Poole with changing line-ups and guest musicians.  They have released eleven studio albums and three EPs.

The Cult: The Cult are a British rock band formed in 1983.  Before settling on their current name in January 1984, the band performed under the name Death Cult, which was an evolution of the name of lead singer Ian Astbury's previous band Southern Death Cult.  They gained a dedicated following in the UK in the mid-1980s as a post-punk/gothic rock band, with singles such as "She Sells Sanctuary", before breaking mainstream in the United States in the late 1980s as a hard rock band with singles such as "Love Removal Machine" and "Fire Woman".  According to music critic Stephen Thomas Erlewine, the band fuse a "heavy metal revivalist" sound with the "pseudo-mysticism ... of The Doors [and] the guitar-orchestrations of Led Zeppelin ... while adding touches of post-punk goth rock".  Since the initial formation of Southern Death Cult in Bradford in 1981, the band have had various line-ups; the longest-serving members are Astbury and guitarist Billy Duffy, the band's two songwriters.

English Oceans: English Oceans is the 10th studio album by American Southern rock band Drive-By Truckers, released on March 4, 2014, by ATO Records.  It was produced by long-time collaborator David Barbe and recorded during two weeks in the late spring of 2013.  Wes Freed again provided the album's artwork and cover.  "English Oceans" marks the first time the Drive-By Truckers returned to the studio in four years and is their only record with two songwriters.

Life Begins at the Hop: "Life Begins at the Hop" is a single by XTC released in 1979 and their fifth single.  Keyboardist Barry Andrews was replaced by second guitarist Dave Gregory prior to its recording.  The song title references the 1950s' rock 'n' roll classic "At the Hop".

Warehouse: Songs and Stories: Warehouse: Songs and Stories (1987) is the sixth and final studio album by alternative rock band Hüsker Dü, originally released by Warner Bros.  Records as a double album on two vinyl LPs.  The band dissolved following the tour in support of its release, in part due to disagreements between songwriters Bob Mould and Grant Hart over the latter's drug use.  This album, along with "Candy Apple Grey", showcases the increasing maturity of Mould and Hart's writing—a change which alienated some long-time fans.  This album is also known for its battle between the two songwriters, with Mould famously telling Hart that he would never have more than half of the songs on a Hüsker Dü album.

XTC: XTC were an English rock band formed in Swindon in 1972 and active until 2006.  Led by songwriters Andy Partridge and Colin Moulding, the band emerged from the late 1970s punk and new wave explosion, later playing in a variety of styles that ranged from angular guitar riffs to elaborately arranged pop.  The band failed to maintain popular success in the UK and US, partly because they did not fit into contemporary trends.  They nevertheless earned a devoted cult following.

Dave Gregory (musician): David Charles Gregory (born 21 September 1952, Swindon, Wiltshire, England) is an English guitarist known best for his work with the rock band XTC.

Supporting paragraphs: Dave Gregory (musician) XTC
Answer: Andy Partridge and Colin Moulding