Q:

What is the GCF of 137 and 85?

Accepted Solution

A:
Solution: The GCF of 137 and 85 is 1MethodsHow to find the GCF of 137 and 85 using Prime FactorizationOne way to find the GCF of 137 and 85 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 137?What are the Factors of 85?Here is the prime factorization of 137:1371137^11371And this is the prime factorization of 85:51×1715^1 × 17^151×171When 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 137 and 85 is 1.Thus, the GCF of 137 and 85 is: 1How to Find the GCF of 137 and 85 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 137 and 85 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, 137 and 85:Factors of 137: 1, 137Factors of 85: 1, 5, 17, 85When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 137 and 85 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 60 and 47?What is the GCF of 10 and 34?What is the GCF of 11 and 39?What is the GCF of 7 and 92?What is the GCF of 88 and 41?