Greatest Common Factor of 92 and 10764
GCF(92, 10764) = 92, Greatest common factor of 92 and 10764 is 92. 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 92 and 10764. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 10764 by prime factorization method
We will first find the prime factorization of 92 and 10764.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 10764 is 1, 2, 2, 3, 3, 13, 23.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (10764) = \) \(1\times 2\times 2\times 3\times 3\times 13\times 23\)
Now we need to find any which are common for each number (1, 2, 2, 23) and multiply these numbers together.
\(GCF(92, 10764) = 1\times 2\times 2\times 23 = 92\).
Greatest Common Factor of 92 and 10764 by matching factors method
List of positive integers factors of 92 leaving a remainder zero is 1, 2, 4, 23, 46, 92
List of positive integers factors of 10764 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 36, 39, 46, 52, 69, 78, 92, 117, 138, 156, 207, 234, 276, 299, 414, 468, 598, 828, 897, 1196, 1794, 2691, 3588, 5382, 10764
As you can see, 92 is the greatest and common number that 92 and 10764 divides into.
So the greatest common factor 92 and 10764 is 92.
\(GCF(92, 10764) = 92\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
