Solution: The GCF of 65 and 65 is 65MethodsHow to find the GCF of 65 and 65 using Prime FactorizationOne way to find the GCF of 65 and 65 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 65?What are the Factors of 65?Here is the prime factorization of 65:51×1315^1 × 13^151×131And this is the prime factorization of 65:51×1315^1 × 13^151×131When 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 65 and 65 by multiplying all the matching prime factors to get a GCF of 65 and 65 as 4225:Thus, the GCF of 65 and 65 is: 4225How to Find the GCF of 65 and 65 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 65 and 65 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, 65 and 65:Factors of 65: 1, 5, 13, 65Factors of 65: 1, 5, 13, 65When you compare the two lists of factors, you can see that the common factor(s) are 1, 5, 13, 65. Since 65 is the largest of these common factors, the GCF of 65 and 65 would be 65.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 74 and 47?What is the GCF of 132 and 130?What is the GCF of 11 and 96?What is the GCF of 31 and 51?What is the GCF of 121 and 142?