Solution: The GCF of 26 and 16 is 2MethodsHow to find the GCF of 26 and 16 using Prime FactorizationOne way to find the GCF of 26 and 16 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 16?Here is the prime factorization of 26:21×1312^1 × 13^121×131And this is the prime factorization of 16:242^424When 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 16 by multiplying all the matching prime factors to get a GCF of 26 and 16 as 4:Thus, the GCF of 26 and 16 is: 4How to Find the GCF of 26 and 16 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 26 and 16 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 16:Factors of 26: 1, 2, 13, 26Factors of 16: 1, 2, 4, 8, 16When 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 16 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 55 and 117?What is the GCF of 115 and 8?What is the GCF of 83 and 84?What is the GCF of 71 and 72?What is the GCF of 125 and 25?