Solution: The GCF of 106 and 88 is 2MethodsHow to find the GCF of 106 and 88 using Prime FactorizationOne way to find the GCF of 106 and 88 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 106?What are the Factors of 88?Here is the prime factorization of 106:21×5312^1 × 53^121×531And this is the prime factorization of 88:23×1112^3 × 11^123×111When 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 106 and 88 by multiplying all the matching prime factors to get a GCF of 106 and 88 as 4:Thus, the GCF of 106 and 88 is: 4How to Find the GCF of 106 and 88 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 106 and 88 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, 106 and 88:Factors of 106: 1, 2, 53, 106Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88When 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 106 and 88 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 68 and 115?What is the GCF of 65 and 99?What is the GCF of 49 and 110?What is the GCF of 60 and 47?What is the GCF of 126 and 18?