How to Find the Greatest Common Factor for 12 and 18

You can find the greatest common factor (GCF) of 12 and 18 by listing the common factors for each number and then identifying the greatest factor in each list. Here's the step-by-step process:

Step 1: List the Factors of 12
• The factors of 12 are the numbers that can evenly divide 12. In this case, they are 1, 2, 3, 4, 6, and 12.

Step 2: List the Factors of 18
• The factors of 18 are the numbers that can evenly divide 18. In this case, they are 1, 2, 3, 6, 9, and 18.

Step 3: Identify the Common Factors
• Compare the lists of factors for 12 and 18 to find the common factors. The common factors are the numbers that appear in both lists.
Common Factors: 1, 2, 3, 6

Step 4: Determine the Greatest Common Factor
• Finally, determine which common factor is the greatest. In this case, the greatest common factor (GCF) of 12 and 18 is 6.
So, the GCF of 12 and 18 is 6.

Note: You can also use prime factorization to find the GCF. It involves breaking down each number into its prime factors and then finding the common prime factors.

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