In a room at a​ museum, we want to tile the floor. If the floor measures 15 feet by 55 ​feet, what is the​ largest-size square tile that we can use to tile the floor without having to cut​ tiles?

A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft