Q:

What is the GCF of 148 and 145?

Accepted Solution

A:
Solution: The GCF of 148 and 145 is 1 Methods How to find the GCF of 148 and 145 using Prime Factorization One way to find the GCF of 148 and 145 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 148? What are the Factors of 145? Here is the prime factorization of 148: 2 2 × 3 7 1 2^2 × 37^1 2 2 × 3 7 1 And this is the prime factorization of 145: 5 1 × 2 9 1 5^1 × 29^1 5 1 × 2 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 148 and 145 is 1. Thus, the GCF of 148 and 145 is: 1 How to Find the GCF of 148 and 145 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 148 and 145 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, 148 and 145: Factors of 148: 1, 2, 4, 37, 74, 148 Factors of 145: 1, 5, 29, 145 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 148 and 145 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 53 and 147? What is the GCF of 127 and 144? What is the GCF of 122 and 27? What is the GCF of 114 and 73? What is the GCF of 71 and 138?