Solution: The GCF of 127 and 127 is 127MethodsHow to find the GCF of 127 and 127 using Prime FactorizationOne way to find the GCF of 127 and 127 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 127?What are the Factors of 127?Here is the prime factorization of 127:1271127^11271And this is the prime factorization of 127:1271127^11271When 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 127 and 127 by multiplying all the matching prime factors to get a GCF of 127 and 127 as 16129:Thus, the GCF of 127 and 127 is: 16129How to Find the GCF of 127 and 127 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 127 and 127 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, 127 and 127:Factors of 127: 1, 127Factors of 127: 1, 127When you compare the two lists of factors, you can see that the common factor(s) are 1, 127. Since 127 is the largest of these common factors, the GCF of 127 and 127 would be 127.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 110 and 131?What is the GCF of 135 and 87?What is the GCF of 143 and 147?What is the GCF of 139 and 93?What is the GCF of 26 and 98?