What do you call the largest factor that two or more numbers have in common?

The largest factor that two or more numbers share is referred to as the Greatest Common Factor (GCF). This term specifically denotes the highest number that can evenly divide each of the given numbers without leaving a remainder. For example, if we have the numbers 12 and 18, the factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 18 are 1, 2, 3, 6, 9, and 18. The factors that both numbers share are 1, 2, 3, and 6, with 6 being the greatest among them, making it the GCF.

In contrast, the Least Common Multiple (LCM) refers to the smallest multiple that is common to both numbers, which is not what the question asks for. A common denominator is a term used primarily in the context of adding or subtracting fractions, which also does not pertain to the concept of factors. The term "sum" simply describes the result of adding two or more numbers together, which does not relate to the idea of a common factor.

Understanding the GCF is crucial in various mathematical applications, such as simplifying fractions, finding