Solution: The GCF of 106 and 24 is 2MethodsHow to find the GCF of 106 and 24 using Prime FactorizationOne way to find the GCF of 106 and 24 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 106?What are the Factors of 24?Here is the prime factorization of 106:21×5312^1 × 53^121×531And this is the prime factorization of 24:23×312^3 × 3^123×31When 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 106 and 24 by multiplying all the matching prime factors to get a GCF of 106 and 24 as 4:Thus, the GCF of 106 and 24 is: 4How to Find the GCF of 106 and 24 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 106 and 24 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, 106 and 24:Factors of 106: 1, 2, 53, 106Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24When 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 106 and 24 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 68 and 128?What is the GCF of 31 and 99?What is the GCF of 50 and 63?What is the GCF of 138 and 107?What is the GCF of 46 and 35?