Solution: The GCF of 32 and 124 is 4MethodsHow to find the GCF of 32 and 124 using Prime FactorizationOne way to find the GCF of 32 and 124 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:What are the Factors of 32?What are the Factors of 124?Here is the prime factorization of 32:252^525And this is the prime factorization of 124:22×3112^2 × 31^122×311When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 32 and 124 by multiplying all the matching prime factors to get a GCF of 32 and 124 as 4:Thus, the GCF of 32 and 124 is: 4How to Find the GCF of 32 and 124 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 32 and 124 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above.Let’s take a look at the factors for each of these numbers, 32 and 124:Factors of 32: 1, 2, 4, 8, 16, 32Factors of 124: 1, 2, 4, 31, 62, 124When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 32 and 124 would be 4.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 68 and 53?What is the GCF of 89 and 97?What is the GCF of 111 and 131?What is the GCF of 146 and 62?What is the GCF of 60 and 141?