Solution: The GCF of 64 and 71 is 1MethodsHow to find the GCF of 64 and 71 using Prime FactorizationOne way to find the GCF of 64 and 71 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 71?Here is the prime factorization of 64:262^626And this is the prime factorization of 71:71171^1711When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 64 and 71 is 1.Thus, the GCF of 64 and 71 is: 1How to Find the GCF of 64 and 71 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 64 and 71 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 71:Factors of 64: 1, 2, 4, 8, 16, 32, 64Factors of 71: 1, 71When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 64 and 71 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 114 and 29?What is the GCF of 121 and 95?What is the GCF of 6 and 96?What is the GCF of 56 and 28?What is the GCF of 113 and 30?