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In terms of purpose, a corporation is either public or private. A public corporation is established for a governmental purpose. State hospitals and state universities are public corporations. A private corporation is established by private citizens for a business or charitable purpose. Sometimes a private corporation is called public because its stock is broadly owned by the general public. This differentiates it from a private corporation where the stock is owned by only one or a small number of shareholders. The latter type is also known as a close or closely-held corporation.
State hospitals and state universities are private corporations.
The public corporation is also known as a closely-held corporation.
A private corporation is established by the government.
A public corporation is organized for a government purpose.