Q:

What is the GCF of 143 and 2?

Accepted Solution

A:
Solution: The GCF of 143 and 2 is 1 Methods How to find the GCF of 143 and 2 using Prime Factorization One way to find the GCF of 143 and 2 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 143? What are the Factors of 2? Here is the prime factorization of 143: 1 1 1 × 1 3 1 11^1 × 13^1 1 1 1 × 1 3 1 And this is the prime factorization of 2: 2 1 2^1 2 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 143 and 2 is 1. Thus, the GCF of 143 and 2 is: 1 How to Find the GCF of 143 and 2 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 143 and 2 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, 143 and 2: Factors of 143: 1, 11, 13, 143 Factors of 2: 1, 2 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 143 and 2 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 44 and 84? What is the GCF of 26 and 126? What is the GCF of 64 and 112? What is the GCF of 98 and 6? What is the GCF of 105 and 107?