When 2 objects with different masses are in free fall, they will hit the ground at the same time. When an object is in free fall, it is "weightless". This is because there is no force pushing up on it. Since both of the objects are experiencing the same fore, gravitational force(-9.8), then they both will fall at the same velocity and they will both hit the ground at the same time. The only thing that could change this result is air resistance. The object with more mass also has more inertia than the object with less mass. Inertia is resistance to acceleration.

The same thing happens on the moon. The only difference is the moon has a gravitational force of -1.6.

Misconceptions About Falling Objects

Feather and Ball Bearing Dropped in Vacuum