How to Find the Greatest Common Factor for 6 and 8

You can find the greatest common factor (GCF) of 6 and 8 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 6
• The factors of 6 are the numbers that can evenly divide 6. In this case, they are 1, 2, 3, and 6.

Step 2: List the Factors of 8
• The factors of 8 are the numbers that can evenly divide 8. In this case, they are 1, 2, 4, and 8.

Step 3: Identify the Common Factors
• Compare the lists of factors for 6 and 8 to find the common factors. The common factors are the numbers that appear in both lists.
Common Factors: 1 and 2

Step 4: Determine the Greatest Common Factor
• Finally, determine which common factor is the greatest. In this case, the greatest common factor (GCF) of 6 and 8 is 2.
So, the GCF of 6 and 8 is 2.

Note: The GCF represents the largest number that can evenly divide both 6 and 8.