The difference between King and Prince

When used as nouns, king means a male monarch, whereas prince means a (male) ruler, a sovereign.

King is also verb with the meaning: to crown king, to make (a person) king.

check bellow for the other definitions of King and Prince

King as a noun:

A male monarch; a man who heads a monarchy. If it's an absolute monarchy, then he is the supreme ruler of his nation.

Examples:

"Henry VIII was the king of England from 1509 to 1547."
King as a noun:

A powerful or majorly influential person.

Examples:

"Howard Stern styled himself as the "king of all media"."
King as a noun:

Something that has a preeminent position.

Examples:

"In times of financial panic, cash is king."
King as a noun (chess):

A component of certain games. The principal chess piece, that players seek to threaten with unavoidable capture to result in a victory by checkmate. It is often the tallest piece, with a symbolic crown with a cross at the top. A playing card with the letter "K" and the image of a king on it, the thirteenth card in a given suit. A checker (a piece of checkers/draughts) that reached the farthest row forward, thus becoming crowned (either by turning it upside-down, or by stacking another checker on it) and gaining more freedom of movement.
King as a noun (UK, slang):

A king skin.

Examples:

"Oi mate, have you got kings?"
King as a noun:

A male dragonfly; a drake.
King as a noun:

A king-sized bed.

King as a verb:

To crown king, to make (a person) king.
King as a verb:

To rule over as king.
King as a verb:

To perform the duties of a king.
King as a verb:

To assume or pretend preeminence (over); to lord it over.
King as a verb:

To promote a piece of draughts/checkers that has traversed the board to the opposite side, that piece subsequently being permitted to move backwards as well as forwards.
King as a verb:

To dress and perform as a drag king.

Prince as a noun (now, archaic, or, historical):

A (male) ruler, a sovereign; a king, monarch.
Prince as a noun (obsolete):

A female monarch.
Prince as a noun:

Someone who is preeminent in their field; a great person.

Examples:

"He is a prince among men."
Prince as a noun:

The (male) ruler or head of a principality.
Prince as a noun:

A male member of a royal family other than the ruler; especially (in the United Kingdom) the son or grandson of the monarch.
Prince as a noun:

A non-royal high title of nobility, especially in France and the Holy Roman Empire.

Examples:

"Prince Louis de Broglie won the 1929 Nobel Prize in Physics."
Prince as a noun:

The mushroom Agaricus augustus.
Prince as a noun:

A type of court card used in tarot cards, the equivalent of the jack.