Q:

What is the GCF of 143 and 4?

Accepted Solution

A:
Solution: The GCF of 143 and 4 is 1MethodsHow to find the GCF of 143 and 4 using Prime FactorizationOne way to find the GCF of 143 and 4 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 4?Here is the prime factorization of 143:111×13111^1 × 13^1111×131And this is the prime factorization of 4:222^222When 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 4 is 1.Thus, the GCF of 143 and 4 is: 1How to Find the GCF of 143 and 4 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 143 and 4 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 4:Factors of 143: 1, 11, 13, 143Factors of 4: 1, 2, 4When 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 4 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 35 and 117?What is the GCF of 42 and 19?What is the GCF of 138 and 92?What is the GCF of 47 and 34?What is the GCF of 44 and 29?