Bóltfelagið 1936 was first established in March 1936. The team is known by several names, including B36 Tórshavn, Football Club 1936 and FC Tórshavn, but is known most simply as B36. Over the years, they have won many major honours within the Faroe Islands and are one of the country's most successful sides. The team are nicknamed 'Hvítir', which translates to 'The Whites', in reference to their white home strip.
The team are based in the capital, Tórshavn, and their primary rivals are the other major club from the city, HB Tórshavn. Due to the success both sides have had, the matches between the two have often carried great significance. Historically, HB Tórshavn are one of the few clubs in the Faroe Islands to have enjoyed greater levels of success than B36.
Altogether, B36 have been crowned as the country's national champions on nine occasions, with their first win coming in 1946 and their most recent title coming in 2011. Further success has come in the Faroe Islands Cup, with the team appearing in the final on 14 occasions and lifting the trophy five times. The 2001 season was an especially successful one for B36, as they achieved a league and cup double for the first time. Moreover, the side won the Atlantic Cup in 2006 and the Faroe Islands Super Cup in 2007. They have reached the qualifying rounds of several major continental tournaments, including the UEFA Champions League.
Some of the most notable players to represent the club include Jákup á Borg, Súni Fríði Johannesen and Amed Davy Sylla, all of whom were Faroe Islands Premier League top scorers during their respective stints with the team.
B36's home matches are played at Gundadalur Stadium, which is shared with their rivals, HB Tórshavn. The venue was built in 1911 and currently holds a capacity crowd of 5,000.