A common divisor is a number that divides two or more integers with no remainder. In mathematics and number theory, there are several terms that can be used interchangeably with the term "common divisor." For example, a common factor is a positive integer that divides two or more numbers without a remainder. Another term that is commonly used in place of "common divisor" is "common factor," which refers to any positive integer that can divide two or more numbers without leaving a remainder. Other synonyms for "common divisor" include "greatest common divisor," "highest common factor," or simply "common denominator." Despite their different names, all of these terms refer to the same mathematical concept and are used frequently in various mathematical applications.