Solution: The GCF of 150 and 80 is 10MethodsHow to find the GCF of 150 and 80 using Prime FactorizationOne way to find the GCF of 150 and 80 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 80?Here is the prime factorization of 150:21×31×522^1 × 3^1 × 5^221×31×52And this is the prime factorization of 80:24×512^4 × 5^124×51When 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 80 by multiplying all the matching prime factors to get a GCF of 150 and 80 as 100:Thus, the GCF of 150 and 80 is: 100How to Find the GCF of 150 and 80 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 150 and 80 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 80:Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 5, 10. Since 10 is the largest of these common factors, the GCF of 150 and 80 would be 10.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 114 and 58?What is the GCF of 1 and 120?What is the GCF of 37 and 104?What is the GCF of 148 and 65?What is the GCF of 89 and 50?