A common factor is a whole number that divides each of two or more given whole numbers with no remainder; the shared factors can be identified by listing factor pairs or interpreting equal groups and rectangular arrays. The understanding includes that 1 is a factor of every whole number and that a factor is not the same as a multiple; prime factorization, greatest-common-factor algorithms, and more general work with large numbers are not included.
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A common factor is a whole number that divides two numbers evenly, with no remainder.
To find the common factors of and :
List the factor pairs for :
So, the factors of are
.
List the factor pairs for :
So, the factors of are
.
Find the numbers that appear in both lists:
Therefore, the common factors of and are .
Remember: is a factor of every whole number. A factor divides a number evenly; a multiple is the result of multiplying a number by a whole number.
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