Which depends on gravitational force mass or weight?

The gravitational force exerted on an object by the earth(also called weight of an object) depends on the mass of the object.

Force due to gravity = (mass of the object)*g where g is the acceleration due to gravity which for all intensive purposes is relatively constant. g will change very slightly with distance.

If you are curious to how g changes:

g@an altitude above sea level= [1/(1+altitude/R)^2]*g at sea level Where R= radius of the earth = 6,378.1 Km

This can be easily derived from newtons theory of gravitation

For example: lets take an altitude close to mount everest, 9Km

The acceleration due to gravity at that point will be only 0.3% less than at sea level.

Mass and Weight The gravitational force Earth exerts on an object is the weight of the object. Because weight is a force, it is measured in newtons. Weight is not the same as mass. Mass is the amount of matter an object contains, and is measured in kilograms. Even if the mass of an object doesn't change, its weight will change if its distance from Earth changes.