Solution: The GCF of 150 and 6 is 6MethodsHow to find the GCF of 150 and 6 using Prime FactorizationOne way to find the GCF of 150 and 6 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 6?Here is the prime factorization of 150:21×31×522^1 × 3^1 × 5^221×31×52And this is the prime factorization of 6:21×312^1 × 3^121×31When 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 6 by multiplying all the matching prime factors to get a GCF of 150 and 6 as 36:Thus, the GCF of 150 and 6 is: 36How to Find the GCF of 150 and 6 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 150 and 6 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 6:Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150Factors of 6: 1, 2, 3, 6When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 3, 6. Since 6 is the largest of these common factors, the GCF of 150 and 6 would be 6.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 70 and 97?What is the GCF of 18 and 8?What is the GCF of 96 and 148?What is the GCF of 102 and 23?What is the GCF of 78 and 2?