Q:

What is the GCF of 145 and 139?

Accepted Solution

A:
Solution: The GCF of 145 and 139 is 1 Methods How to find the GCF of 145 and 139 using Prime Factorization One way to find the GCF of 145 and 139 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 145? What are the Factors of 139? Here is the prime factorization of 145: 5 1 × 2 9 1 5^1 × 29^1 5 1 × 2 9 1 And this is the prime factorization of 139: 13 9 1 139^1 13 9 1 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 145 and 139 is 1. Thus, the GCF of 145 and 139 is: 1 How to Find the GCF of 145 and 139 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 145 and 139 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, 145 and 139: Factors of 145: 1, 5, 29, 145 Factors of 139: 1, 139 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 145 and 139 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 62 and 30? What is the GCF of 17 and 43? What is the GCF of 31 and 106? What is the GCF of 83 and 93? What is the GCF of 40 and 137?