Solution: The GCF of 150 and 56 is 2MethodsHow to find the GCF of 150 and 56 using Prime FactorizationOne way to find the GCF of 150 and 56 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 150?What are the Factors of 56?Here is the prime factorization of 150:21×31×522^1 × 3^1 × 5^221×31×52And this is the prime factorization of 56:23×712^3 × 7^123×71When 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 150 and 56 by multiplying all the matching prime factors to get a GCF of 150 and 56 as 4:Thus, the GCF of 150 and 56 is: 4How to Find the GCF of 150 and 56 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 150 and 56 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, 150 and 56:Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56When 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 150 and 56 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 149 and 94?What is the GCF of 143 and 80?What is the GCF of 77 and 82?What is the GCF of 97 and 84?What is the GCF of 126 and 118?