Q:

What is the GCF of 43 and 26?

Accepted Solution

A:
Solution: The GCF of 43 and 26 is 1 Methods How to find the GCF of 43 and 26 using Prime Factorization One way to find the GCF of 43 and 26 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 43? What are the Factors of 26? Here is the prime factorization of 43: 4 3 1 43^1 4 3 1 And this is the prime factorization of 26: 2 1 Γ— 1 3 1 2^1 Γ— 13^1 2 1 Γ— 1 3 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 43 and 26 is 1. Thus, the GCF of 43 and 26 is: 1 How to Find the GCF of 43 and 26 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 43 and 26 is to find and list all the factors of each number. Again, you can see how this is done by looking at the β€œFactors of” articles that are linked to above. Let’s take a look at the factors for each of these numbers, 43 and 26: Factors of 43: 1, 43 Factors of 26: 1, 2, 13, 26 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 43 and 26 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 142 and 3? What is the GCF of 46 and 147? What is the GCF of 75 and 102? What is the GCF of 41 and 44? What is the GCF of 105 and 92?