How to Find the Greatest Common Factor for 4 and 12

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You can find the greatest common factor (GCF) of 4 and 12 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 4
• The factors of 4 are the numbers that can evenly divide 4. In this case, they are 1, 2, and 4.

Step 2: 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 3: Identify the Common Factors
• Compare the lists of factors for 4 and 12 to find the common factors. The common factors are the numbers that appear in both lists.
Common Factors: 1, 2, 4

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

Note: In this case, the GCF is 4 because 4 is the highest factor that both 4 and 12 share.