The true statement about the Milky Way and Andromeda galaxies is: They both exert a strong gravitational pull on each other.
The Milky Way and Andromeda galaxies are actually approaching each other and are expected to collide in about 4.5 billion years, so it's not correct to say they are moving away from each other. Additionally, both galaxies are classified as spiral galaxies, and the Andromeda galaxy, also known as M31, is larger than the Milky Way in terms of the number of stars and overall size.