Solution: The GCF of 64 and 2 is 2MethodsHow to find the GCF of 64 and 2 using Prime FactorizationOne way to find the GCF of 64 and 2 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 2?Here is the prime factorization of 64:262^626And this is the prime factorization of 2:212^121When 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 2 by multiplying all the matching prime factors to get a GCF of 64 and 2 as 4:Thus, the GCF of 64 and 2 is: 4How to Find the GCF of 64 and 2 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 64 and 2 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 2:Factors of 64: 1, 2, 4, 8, 16, 32, 64Factors of 2: 1, 2When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 64 and 2 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 48 and 41?What is the GCF of 49 and 13?What is the GCF of 129 and 33?What is the GCF of 73 and 69?What is the GCF of 111 and 94?