MATH SOLVE

1 month ago

Q:
# What is the GCF of 104 and 141?

Accepted Solution

A:

Solution: The GCF of 104 and 141 is 1
Methods
How to find the GCF of 104 and 141 using Prime Factorization
One way to find the GCF of 104 and 141 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 104?
What are the Factors of 141?
Here is the prime factorization of 104:
2
3
×
1
3
1
2^3 × 13^1
2 3 × 1 3 1
And this is the prime factorization of 141:
3
1
×
4
7
1
3^1 × 47^1
3 1 × 4 7 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 104 and 141 is 1.
Thus, the GCF of 104 and 141 is: 1
How to Find the GCF of 104 and 141 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 104 and 141 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, 104 and 141:
Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104
Factors of 141: 1, 3, 47, 141
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 104 and 141 is 1.
Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems:
What is the GCF of 15 and 44?
What is the GCF of 9 and 43?
What is the GCF of 141 and 115?
What is the GCF of 55 and 51?
What is the GCF of 50 and 116?