Solution: The GCF of 47 and 114 is 1MethodsHow to find the GCF of 47 and 114 using Prime FactorizationOne way to find the GCF of 47 and 114 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 47?What are the Factors of 114?Here is the prime factorization of 47:47147^1471And this is the prime factorization of 114:21×31×1912^1 × 3^1 × 19^121×31×191When 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 47 and 114 is 1.Thus, the GCF of 47 and 114 is: 1How to Find the GCF of 47 and 114 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 47 and 114 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, 47 and 114:Factors of 47: 1, 47Factors of 114: 1, 2, 3, 6, 19, 38, 57, 114When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 47 and 114 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 27 and 69?What is the GCF of 100 and 53?What is the GCF of 78 and 95?What is the GCF of 93 and 23?What is the GCF of 120 and 35?