Greatest Common Factor of 8476 and 6920
GCF(8476, 6920) = 4, Greatest common factor of 8476 and 6920 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 8476 and 6920. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 8476 and 6920 by prime factorization method
We will first find the prime factorization of 8476 and 6920.
Prime Factorization of 8476 is 1, 2, 2, 13, 163 and Prime Factorization of 6920 is 1, 2, 2, 2, 5, 173.
- Factorize\( (8476) = \) \(1\times 2\times 2\times 13\times 163\)
- Factorize\( (6920) = \) \(1\times 2\times 2\times 2\times 5\times 173\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(8476, 6920) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 8476 and 6920 by matching factors method
List of positive integers factors of 8476 leaving a remainder zero is 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476
List of positive integers factors of 6920 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920
As you can see, 4 is the greatest and common number that 8476 and 6920 divides into.
So the greatest common factor 8476 and 6920 is 4.
\(GCF(8476, 6920) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
