Q:

What is the GCF of 4 and 136?

Accepted Solution

A:
Solution: The GCF of 4 and 136 is 4 Methods How to find the GCF of 4 and 136 using Prime Factorization One way to find the GCF of 4 and 136 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 4? What are the Factors of 136? Here is the prime factorization of 4: 2 2 2^2 2 2 And this is the prime factorization of 136: 2 3 × 1 7 1 2^3 × 17^1 2 3 × 1 7 1 When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 4 and 136 by multiplying all the matching prime factors to get a GCF of 4 and 136 as 4: Thus, the GCF of 4 and 136 is: 4 How to Find the GCF of 4 and 136 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 4 and 136 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, 4 and 136: Factors of 4: 1, 2, 4 Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 4. Since 4 is the largest of these common factors, the GCF of 4 and 136 would be 4. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 11 and 58? What is the GCF of 47 and 97? What is the GCF of 69 and 8? What is the GCF of 133 and 78? What is the GCF of 24 and 149?