Greatest Common Factor of 936 and 8658
GCF(936, 8658) = 234, Greatest common factor of 936 and 8658 is 234. 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 936 and 8658. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 936 and 8658 by prime factorization method
We will first find the prime factorization of 936 and 8658.
Prime Factorization of 936 is 1, 2, 2, 2, 3, 3, 13 and Prime Factorization of 8658 is 1, 2, 3, 3, 13, 37.
- Factorize\( (936) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 13\)
- Factorize\( (8658) = \) \(1\times 2\times 3\times 3\times 13\times 37\)
Now we need to find any which are common for each number (1, 2, 3, 3, 13) and multiply these numbers together.
\(GCF(936, 8658) = 1\times 2\times 3\times 3\times 13 = 234\).
Greatest Common Factor of 936 and 8658 by matching factors method
List of positive integers factors of 936 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
List of positive integers factors of 8658 leaving a remainder zero is 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
As you can see, 234 is the greatest and common number that 936 and 8658 divides into.
So the greatest common factor 936 and 8658 is 234.
\(GCF(936, 8658) = 234\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
