Question

What are two things that the amount of gravitational force between two object depends on

Answer 1

The equation behind this question is:

g = (G*m*M) / (r^2)

g is the gravitational force
G is the Universal Gravitational Constant
M is the mass of one object
and m is the mass of the other constant
r is the distance between the two objects

Answer 2

1).  the product of the two masses being gravitationally attracted to each other

2).  the distance between their centers of mass

And that's IT.  The gravitational force between them depends on
only those two things, nothing else.