What factors control how much a planet's gravitational force is felt?

Elevation, there is a lot less gravitational pull the higher up you go.

Weight- weight is actually the amount of pressure gravity has on the object. The greater the gravitational pull, the heavier the object will be.

Distance- the farther away something is, the less gravitational pull it might have on another object.

Size- the bigger the object, the greater the gravitational pull. You jump higher on the moon than you do on Earth because the earth is larger and therefore has a greater pull on objects to its surface

Hope this helps