What is the greatest common factor of 12 and 36?

The greatest common factor (GCF) of 12 and 36 is 12.

To find the GCF, we first list the factors of each number:

  • Factors of 12 are: 1, 2, 3, 4, 6, 12
  • Factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Next, we identify the common factors in both lists: 1, 2, 3, 4, 6, and 12. The greatest of these common factors is 12.

Thus, the GCF of 12 and 36 is 12, meaning it’s the largest number that can evenly divide both 12 and 36.

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