BA flew 73,832 seats (calculated from the Route Tracker on another website) and carried 55,077 of the passengers (which you would know if you had access to the CAA stats which split pax by carrier by route). 74.6% loadfactor.
BA LHR/MAN seats for Jan 2014 were 81,752 (507 flights) so if the pax figure is correct that would equate to a LF of 67.4%.