Solution: The GCF of 26 and 26 is 26MethodsHow to find the GCF of 26 and 26 using Prime FactorizationOne way to find the GCF of 26 and 26 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 26?What are the Factors of 26?Here is the prime factorization of 26:21×1312^1 × 13^121×131And this is the prime factorization of 26:21×1312^1 × 13^121×131When 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 26 and 26 by multiplying all the matching prime factors to get a GCF of 26 and 26 as 676:Thus, the GCF of 26 and 26 is: 676How to Find the GCF of 26 and 26 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 26 and 26 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, 26 and 26:Factors of 26: 1, 2, 13, 26Factors of 26: 1, 2, 13, 26When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 13, 26. Since 26 is the largest of these common factors, the GCF of 26 and 26 would be 26.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 117 and 54?What is the GCF of 9 and 93?What is the GCF of 18 and 123?What is the GCF of 118 and 22?What is the GCF of 120 and 132?