Solution: The GCF of 95 and 133 is 19
Methods
How to find the GCF of 95 and 133 using Prime Factorization
One way to find the GCF of 95 and 133 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 95?
What are the Factors of 133?
Here is the prime factorization of 95:
5
1
×
1
9
1
5^1 × 19^1
5 1 × 1 9 1
And this is the prime factorization of 133:
7
1
×
1
9
1
7^1 × 19^1
7 1 × 1 9 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 95 and 133 by multiplying all the matching prime factors to get a GCF of 95 and 133 as 361:
Thus, the GCF of 95 and 133 is: 361
How to Find the GCF of 95 and 133 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 95 and 133 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, 95 and 133:
Factors of 95: 1, 5, 19, 95
Factors of 133: 1, 7, 19, 133
When you compare the two lists of factors, you can see that the common factor(s) are 1, 19. Since 19 is the largest of these common factors, the GCF of 95 and 133 would be 19.
Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems:
What is the GCF of 51 and 60?
What is the GCF of 97 and 43?
What is the GCF of 66 and 33?
What is the GCF of 57 and 118?
What is the GCF of 147 and 78?