Solution: The GCF of 24 and 146 is 2MethodsHow to find the GCF of 24 and 146 using Prime FactorizationOne way to find the GCF of 24 and 146 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 24?What are the Factors of 146?Here is the prime factorization of 24:23×312^3 × 3^123×31And this is the prime factorization of 146:21×7312^1 × 73^121×731When 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 24 and 146 by multiplying all the matching prime factors to get a GCF of 24 and 146 as 4:Thus, the GCF of 24 and 146 is: 4How to Find the GCF of 24 and 146 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 24 and 146 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, 24 and 146:Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 146: 1, 2, 73, 146When 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 24 and 146 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 4 and 2?What is the GCF of 139 and 28?What is the GCF of 111 and 137?What is the GCF of 32 and 70?What is the GCF of 55 and 51?