Solution: The GCF of 64 and 32 is 32MethodsHow to find the GCF of 64 and 32 using Prime FactorizationOne way to find the GCF of 64 and 32 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 64?What are the Factors of 32?Here is the prime factorization of 64:262^626And this is the prime factorization of 32:252^525When 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 64 and 32 by multiplying all the matching prime factors to get a GCF of 64 and 32 as 4:Thus, the GCF of 64 and 32 is: 4How to Find the GCF of 64 and 32 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 64 and 32 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, 64 and 32:Factors of 64: 1, 2, 4, 8, 16, 32, 64Factors of 32: 1, 2, 4, 8, 16, 32When 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 64 and 32 would be 32.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 123 and 65?What is the GCF of 41 and 47?What is the GCF of 10 and 118?What is the GCF of 114 and 140?What is the GCF of 78 and 95?