What is gravitational field and gravitational potential ?

The gravitational field refers to the region of space surrounding a mass where another mass experiences a gravitational force. It's a vector field, meaning at each point in space, it has both magnitude and direction. The strength of the gravitational field depends on the mass of the object creating it and the distance from that object. In simpler terms, it's the force per unit mass experienced by a test mass placed at that point.

Gravitational potential, on the other hand, is a scalar field that describes the potential energy per unit mass at any point in space due to the gravitational field. It represents the work done per unit mass in moving a mass from a reference point (often infinity) to the point in question without changing its kinetic energy. Mathematically, it's usually defined as negative, with zero potential at infinity. The closer an object is to a massive body, the lower its gravitational potential energy.

Both concepts are crucial in understanding gravitational interactions and are fundamental in classical mechanics, astrophysics, and general relativity.

gravitational field at a point is the force experienced by a unit mass placed at that point. Its direction is  towards the center of the mass causing the gravitational field.  units are newtons per kilogram (N/kg) in the International System of Units (SI)

it is a vector quantity

Gravitational potential

It is defined as the amount of work done to move an object from a reference point (often infinity) to a specific point in the gravitational field

it is a scalar quantity 

Gravitational field : it's a force of an earth aroound

It increase with decrease of square distance. 

Gravitational potential: relating to gravitational field earth is like to be a source charge any object in the field is point charge it moved towards source with energy it is gravitational potential. How much energy is required to move is gravitational potential

It increase with decrease in only distance.