How to Find the Greatest Common Factor for 24 and 45

You can find the greatest common factor (GCF) of 24 and 45 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 24 • The factors of 24 are the numbers that can evenly divide 24. In this case, they are 1, 2, 3, 4, 6, 8, 12, and 24. Step 2: List the Factors of 45 • The factors of 45 are the numbers that can evenly divide 45. In this case, they are 1, 3, 5, 9, 15, and 45. Step 3: Identify the Common Factors • Compare the lists of factors for 24 and 45 to find the common factors. The common factors are the numbers that appear in both lists. Common Factors: 1, 3 Step 4: Determine the Greatest Common Factor • Finally, determine which common factor is the greatest. In this case, the greatest common factor (GCF) of 24 and 45 is 3. So, the GCF of 24 and 45 is 3.