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Math Tutor Solution: The GCF of 129 and 129 is 129
Methods
How to find the GCF of 129 and 129 using Prime Factorization
One way to find the GCF of 129 and 129 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:
Here is the prime factorization of 129:
And this is the prime factorization of 129:
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 129 and 129 by multiplying all the matching prime factors to get a GCF of 129 and 129 as 16641:
Thus, the GCF of 129 and 129 is: 16641
How to Find the GCF of 129 and 129 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 129 and 129 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, 129 and 129:
Factors of 129: 1, 3, 43, 129
Factors of 129: 1, 3, 43, 129
When you compare the two lists of factors, you can see that the common factor(s) are 1, 3, 43, 129. Since 129 is the largest of these common factors, the GCF of 129 and 129 would be 129.
Math Tutor Suggests: Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems walkthrough from math tutors:
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