Solution: The GCF of 112 and 140 is 28MethodsHow to find the GCF of 112 and 140 using Prime FactorizationOne way to find the GCF of 112 and 140 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 140?Here is the prime factorization of 112:24×712^4 × 7^124×71And this is the prime factorization of 140:22×51×712^2 × 5^1 × 7^122×51×71When 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 112 and 140 by multiplying all the matching prime factors to get a GCF of 112 and 140 as 196:Thus, the GCF of 112 and 140 is: 196How to Find the GCF of 112 and 140 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 112 and 140 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 140:Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4, 7, 14, 28. Since 28 is the largest of these common factors, the GCF of 112 and 140 would be 28.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 83 and 150?What is the GCF of 104 and 82?What is the GCF of 43 and 50?What is the GCF of 95 and 29?What is the GCF of 31 and 92?