The correct statement about the Milky Way galaxy and the Andromeda galaxy is: They both exert a strong gravitational pull on each other.
The Milky Way and Andromeda galaxies are actually moving towards each other due to their mutual gravitational attraction and are expected to collide in about 4.5 billion years. Additionally, both galaxies are classified as spiral galaxies, not only the Milky Way. Finally, the Andromeda galaxy (M31) is actually larger than the Milky Way in terms of both size and number of stars.