Greatest Common Factor of 92 and 8378
GCF(92, 8378) = 2, Greatest common factor of 92 and 8378 is 2. 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 8378. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 8378 by prime factorization method
We will first find the prime factorization of 92 and 8378.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 8378 is 1, 2, 59, 71.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (8378) = \) \(1\times 2\times 59\times 71\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(92, 8378) = 1\times 2 = 2\).
Greatest Common Factor of 92 and 8378 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 8378 leaving a remainder zero is 1, 2, 59, 71, 118, 142, 4189, 8378
As you can see, 2 is the greatest and common number that 92 and 8378 divides into.
So the greatest common factor 92 and 8378 is 2.
\(GCF(92, 8378) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
