Solution: The GCF of 97 and 63 is 1MethodsHow to find the GCF of 97 and 63 using Prime FactorizationOne way to find the GCF of 97 and 63 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 97?What are the Factors of 63?Here is the prime factorization of 97:97197^1971And this is the prime factorization of 63:32×713^2 × 7^132×71When 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 97 and 63 is 1.Thus, the GCF of 97 and 63 is: 1How to Find the GCF of 97 and 63 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 97 and 63 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, 97 and 63:Factors of 97: 1, 97Factors of 63: 1, 3, 7, 9, 21, 63When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 97 and 63 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 140 and 73?What is the GCF of 122 and 54?What is the GCF of 63 and 136?What is the GCF of 60 and 116?What is the GCF of 4 and 9?