Solution: The GCF of 32 and 128 is 32MethodsHow to find the GCF of 32 and 128 using Prime FactorizationOne way to find the GCF of 32 and 128 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 128?Here is the prime factorization of 32:252^525And this is the prime factorization of 128:272^727When 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 128 by multiplying all the matching prime factors to get a GCF of 32 and 128 as 4:Thus, the GCF of 32 and 128 is: 4How to Find the GCF of 32 and 128 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 32 and 128 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 128:Factors of 32: 1, 2, 4, 8, 16, 32Factors of 128: 1, 2, 4, 8, 16, 32, 64, 128When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4, 8, 16, 32. Since 32 is the largest of these common factors, the GCF of 32 and 128 would be 32.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 9 and 116?What is the GCF of 28 and 132?What is the GCF of 71 and 29?What is the GCF of 17 and 83?What is the GCF of 74 and 130?