Does the body possess the same potential energy at the same distance from the surface of the earth and the moon?

The potential energy of a body above the surface is determined by the formula: W = m * g * h, where m is the mass of the body, g is the acceleration of gravity, h is the height.
For the Earth, g = 9.8 m / s ^ 2, for the Moon, this value is 1.6 m / s ^ 2, so the potential energy on the Moon will be 6 times less.