The Factory was the place where Andy Warhol and various of his friends worked.
The Eighth Doctor, Sam and Iris Wildthyme visited the Factory in 1968. Iris spent quite a bit of time there following her recent regeneration.
Valerie Solanis, a writer, tried to kill Warhol while he and the others were at the Factory. She merely wounded him. (PROSE: Femme Fatale)