Drop a heavy object onto the floor. Drop a light object onto the floor. They will move at the same speed. But the heavy object will leave a bigger dent.
This has been proved with feathers and golf balls on the moon. But there, objects fall more slowly. 6 times slower. That is because the moon has only 1/6th the pull of gravity compared to Earth. This is from a combination of two things. Mass of the moon is 1/80th that of Earth. But center of moon's mass is only about 1/4 the distance from the surface. The force of pull from moon will be larger. Just as getting closer to a fireplace makes the fire feel hotter, same with gravity. Half the distance, it feels 4 times hotter. Science calls it the "inverse square law" ( just over 1/4 the distance, 14.8 times the pull). Combining the smaller mass and closer separation gets about 1/6th the pull at the moon's surface.
So just remember the two factors on pull of gravity--the greater the two masses, and the shorter the distances between, the greater the pull or force.
There is one more fact--smaller objects pull back on larger ones. An astronaut orbiting the moon makes the moon wobble a very tiny bit. Humans just cannot measure that--too small an effect.
But the moon tugs on the Earth. The Earth wobbles around a point about 3000 miles from its center, or 1000 miles under its surface.
Planets like Earth, and especially Jupiter, make the Sun wobble a bit. This can be measured. And around other stars, astronomers can see this wobble in the starlight. This Doppler effect is used to find planets around other stars. Thousands have been found this way.