Solution: The GCF of 112 and 139 is 1MethodsHow to find the GCF of 112 and 139 using Prime FactorizationOne way to find the GCF of 112 and 139 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 112?What are the Factors of 139?Here is the prime factorization of 112:24×712^4 × 7^124×71And this is the prime factorization of 139:1391139^11391When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 112 and 139 is 1.Thus, the GCF of 112 and 139 is: 1How to Find the GCF of 112 and 139 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 112 and 139 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, 112 and 139:Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112Factors of 139: 1, 139When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 112 and 139 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 148 and 70?What is the GCF of 132 and 84?What is the GCF of 86 and 77?What is the GCF of 37 and 71?What is the GCF of 79 and 40?