If there is no resistance to the objects' motion in air, the only value that will be different for the two objects is:
the upward push of air resistance
In a vacuum (where there is no air resistance), both the hammer and the feather will fall at the same rate and will hit the ground at the same time. The velocity and time it takes for them to fall would be the same, and the gravitational attraction between the Earth and the objects would also be the same, assuming they are dropped from the same height. However, in a scenario with air, the feather would have a significant upward push of air resistance while the hammer would not, leading to different fall behaviors.