Hello. The most commonly used names for private companies are XX company, XX limited company, and XX factory. The names of the state-owned enterprises are Shanghai XX Factory and Shanghai XX Group.
In addition, if it is a private company that makes software, for example, it will have a very eye-catching name: a certain software company, or a private company that makes steel and copper metals. The name is XX Steel Co., Ltd., while state-owned enterprises do not name them so obviously. The names of state-owned enterprises are their trademarks, such as Danone and IBM.