Q:

What is the GCF of 121 and 50?

Accepted Solution

A:
Solution: The GCF of 121 and 50 is 1 Methods How to find the GCF of 121 and 50 using Prime Factorization One way to find the GCF of 121 and 50 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 121? What are the Factors of 50? Here is the prime factorization of 121: 1 1 2 11^2 1 1 2 And this is the prime factorization of 50: 2 1 × 5 2 2^1 × 5^2 2 1 × 5 2 When 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 121 and 50 is 1. Thus, the GCF of 121 and 50 is: 1 How to Find the GCF of 121 and 50 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 121 and 50 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, 121 and 50: Factors of 121: 1, 11, 121 Factors of 50: 1, 2, 5, 10, 25, 50 When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 121 and 50 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 46 and 129? What is the GCF of 146 and 147? What is the GCF of 136 and 140? What is the GCF of 94 and 88? What is the GCF of 117 and 29?