Q:

What is the GCF of 71 and 44?

Accepted Solution

A:
Solution: The GCF of 71 and 44 is 1 Methods How to find the GCF of 71 and 44 using Prime Factorization One way to find the GCF of 71 and 44 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 71? What are the Factors of 44? Here is the prime factorization of 71: 7 1 1 71^1 7 1 1 And this is the prime factorization of 44: 2 2 × 1 1 1 2^2 × 11^1 2 2 × 1 1 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 71 and 44 is 1. Thus, the GCF of 71 and 44 is: 1 How to Find the GCF of 71 and 44 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 71 and 44 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, 71 and 44: Factors of 71: 1, 71 Factors of 44: 1, 2, 4, 11, 22, 44 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 71 and 44 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 86 and 120? What is the GCF of 117 and 93? What is the GCF of 115 and 108? What is the GCF of 99 and 113? What is the GCF of 131 and 127?