Greatest Common Factor of 92 and 8368
GCF(92, 8368) = 4, Greatest common factor of 92 and 8368 is 4. 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 8368. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 8368 by prime factorization method
We will first find the prime factorization of 92 and 8368.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 8368 is 1, 2, 2, 2, 2, 523.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (8368) = \) \(1\times 2\times 2\times 2\times 2\times 523\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(92, 8368) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 92 and 8368 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 8368 leaving a remainder zero is 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368
As you can see, 4 is the greatest and common number that 92 and 8368 divides into.
So the greatest common factor 92 and 8368 is 4.
\(GCF(92, 8368) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
