Q:

What is the GCF of 141 and 38?

Accepted Solution

A:
Solution: The GCF of 141 and 38 is 1 Methods How to find the GCF of 141 and 38 using Prime Factorization One way to find the GCF of 141 and 38 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 141? What are the Factors of 38? Here is the prime factorization of 141: 3 1 × 4 7 1 3^1 × 47^1 3 1 × 4 7 1 And this is the prime factorization of 38: 2 1 × 1 9 1 2^1 × 19^1 2 1 × 1 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 141 and 38 is 1. Thus, the GCF of 141 and 38 is: 1 How to Find the GCF of 141 and 38 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 141 and 38 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, 141 and 38: Factors of 141: 1, 3, 47, 141 Factors of 38: 1, 2, 19, 38 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 141 and 38 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 64 and 92? What is the GCF of 128 and 36? What is the GCF of 120 and 41? What is the GCF of 134 and 49? What is the GCF of 14 and 10?