Solution: The GCF of 24 and 113 is 1MethodsHow to find the GCF of 24 and 113 using Prime FactorizationOne way to find the GCF of 24 and 113 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 113?Here is the prime factorization of 24:23×312^3 × 3^123×31And this is the prime factorization of 113:1131113^11131When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 24 and 113 is 1.Thus, the GCF of 24 and 113 is: 1How to Find the GCF of 24 and 113 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 24 and 113 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 113:Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 113: 1, 113When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 24 and 113 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 41 and 4?What is the GCF of 71 and 74?What is the GCF of 84 and 15?What is the GCF of 37 and 131?What is the GCF of 20 and 67?