Solution: The GCF of 24 and 100 is 4MethodsHow to find the GCF of 24 and 100 using Prime FactorizationOne way to find the GCF of 24 and 100 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 100?Here is the prime factorization of 24:23×312^3 × 3^123×31And this is the prime factorization of 100:22×522^2 × 5^222×52When 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 100 by multiplying all the matching prime factors to get a GCF of 24 and 100 as 4:Thus, the GCF of 24 and 100 is: 4How to Find the GCF of 24 and 100 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 24 and 100 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 100:Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 24 and 100 would be 4.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 107 and 39?What is the GCF of 18 and 131?What is the GCF of 70 and 45?What is the GCF of 75 and 148?What is the GCF of 104 and 110?