What is the measure of gravitational attaraction or force or gravity pulling one object toward the center of another object?

Answer 1

In any gravitational interaction, the forces are equal and opposite ... Each object is pulled
toward the center of the other one, and the strengths of the two forces are equal.

In daily life on Earth, we call the force that attracts us toward the center of the Earth our "weight".
Nobody ever talks about the force of gravity that attracts the Earth toward you, but it's equal.
Your weight on Earth is the same as the Earth's weight on you.

Answer 2

The measure of gravitational attraction between two objects depends on their masses and the distance between them. It is determined by Newton's law of universal gravitation, which states that the force of gravity is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.