Solution: The GCF of 26 and 68 is 2MethodsHow to find the GCF of 26 and 68 using Prime FactorizationOne way to find the GCF of 26 and 68 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 68?Here is the prime factorization of 26:21×1312^1 × 13^121×131And this is the prime factorization of 68:22×1712^2 × 17^122×171When 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 68 by multiplying all the matching prime factors to get a GCF of 26 and 68 as 4:Thus, the GCF of 26 and 68 is: 4How to Find the GCF of 26 and 68 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 26 and 68 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 68:Factors of 26: 1, 2, 13, 26Factors of 68: 1, 2, 4, 17, 34, 68When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 26 and 68 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 118 and 53?What is the GCF of 79 and 57?What is the GCF of 28 and 83?What is the GCF of 104 and 68?What is the GCF of 114 and 55?