How to Find the Greatest Common Factor for 5 and 30

You can find the greatest common factor (GCF) of 5 and 30 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 5 • The factors of 5 are the numbers that can evenly divide 5. In this case, they are 1 and 5. Step 2: List the Factors of 30 • The factors of 30 are the numbers that can evenly divide 30. In this case, they are 1, 2, 3, 5, 6, 10, 15, and 30. Step 3: Identify the Common Factors • Compare the lists of factors for 5 and 30 to find the common factors. The common factor is the number that appears in both lists. Common Factor: 5 Step 4: Determine the Greatest Common Factor • Finally, determine which common factor is the greatest. In this case, the greatest common factor (GCF) of 5 and 30 is 5. So, the GCF of 5 and 30 is 5. Note: In this case, the GCF is 5 because 5 is the highest factor that both 5 and 30 share.