Solution: The GCF of 97 and 97 is 97MethodsHow to find the GCF of 97 and 97 using Prime FactorizationOne way to find the GCF of 97 and 97 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 97?Here is the prime factorization of 97:97197^1971And this is the prime factorization of 97:97197^1971When 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 97 and 97 by multiplying all the matching prime factors to get a GCF of 97 and 97 as 9409:Thus, the GCF of 97 and 97 is: 9409How to Find the GCF of 97 and 97 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 97 and 97 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 97:Factors of 97: 1, 97Factors of 97: 1, 97When you compare the two lists of factors, you can see that the common factor(s) are 1, 97. Since 97 is the largest of these common factors, the GCF of 97 and 97 would be 97.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 45 and 93?What is the GCF of 106 and 136?What is the GCF of 122 and 144?What is the GCF of 35 and 38?What is the GCF of 50 and 75?