Solution: The GCF of 86 and 112 is 2MethodsHow to find the GCF of 86 and 112 using Prime FactorizationOne way to find the GCF of 86 and 112 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 86?What are the Factors of 112?Here is the prime factorization of 86:21×4312^1 × 43^121×431And this is the prime factorization of 112:24×712^4 × 7^124×71When 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 86 and 112 by multiplying all the matching prime factors to get a GCF of 86 and 112 as 4:Thus, the GCF of 86 and 112 is: 4How to Find the GCF of 86 and 112 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 86 and 112 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, 86 and 112:Factors of 86: 1, 2, 43, 86Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112When 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 86 and 112 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 131 and 90?What is the GCF of 6 and 59?What is the GCF of 45 and 149?What is the GCF of 38 and 97?What is the GCF of 121 and 67?