MATH SOLVE

3 months ago

Q:
# What is the GCF of 94 and 47?

Accepted Solution

A:

Solution: The GCF of 94 and 47 is 47
Methods
How to find the GCF of 94 and 47 using Prime Factorization
One way to find the GCF of 94 and 47 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 94?
What are the Factors of 47?
Here is the prime factorization of 94:
2
1
×
4
7
1
2^1 × 47^1
2 1 × 4 7 1
And this is the prime factorization of 47:
4
7
1
47^1
4 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 94 and 47 by multiplying all the matching prime factors to get a GCF of 94 and 47 as 2209:
Thus, the GCF of 94 and 47 is: 2209
How to Find the GCF of 94 and 47 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 94 and 47 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, 94 and 47:
Factors of 94: 1, 2, 47, 94
Factors of 47: 1, 47
When you compare the two lists of factors, you can see that the common factor(s) are 1, 47. Since 47 is the largest of these common factors, the GCF of 94 and 47 would be 47.
Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems:
What is the GCF of 138 and 150?
What is the GCF of 36 and 103?
What is the GCF of 121 and 89?
What is the GCF of 117 and 83?
What is the GCF of 48 and 16?