Greatest Common Factor of 108 and 8141
GCF(108, 8141) = 1, Greatest common factor of 108 and 8141 is 1. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 108 and 8141. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 108 and 8141 by prime factorization method
We will first find the prime factorization of 108 and 8141.
Prime Factorization of 108 is 1, 2, 2, 3, 3, 3 and Prime Factorization of 8141 is 1, 7, 1163.
- Factorize\( (108) = \) \(1\times 2\times 2\times 3\times 3\times 3\)
- Factorize\( (8141) = \) \(1\times 7\times 1163\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(108, 8141) = 1\times 1 = 1\).
Greatest Common Factor of 108 and 8141 by matching factors method
List of positive integers factors of 108 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
List of positive integers factors of 8141 leaving a remainder zero is 1, 7, 1163, 8141
As you can see, 1 is the greatest and common number that 108 and 8141 divides into.
So the greatest common factor 108 and 8141 is 1.
\(GCF(108, 8141) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
