Common factors are numbers or quantities that are shared by two or more quantities. For example, if the numbers 10, 20, and 30 are all divisible by 5, then 5 is a common factor of these numbers.
Common factors can be found by listing the factors of each number and then finding the factors that are shared by all of the numbers. For example, the common factors of 10, 20, and 30 are:
Factors of 10: 1, 2, 5, 10
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 30: 1, 2, 3, 5, 10, 15, 30
The common factors of 10, 20, and 30 are: 1, 2, 5, 10
Another way to find the common factors of two or more numbers is to use the greatest common factor (GCF), which is the largest factor that is shared by all of the numbers. The GCF of 10, 20, and 30 is 10.
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