Greatest Common Factor of 936 and 1638
GCF(936, 1638) = 234, Greatest common factor of 936 and 1638 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 1638. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 936 and 1638 by prime factorization method
We will first find the prime factorization of 936 and 1638.
Prime Factorization of 936 is 1, 2, 2, 2, 3, 3, 13 and Prime Factorization of 1638 is 1, 2, 3, 3, 7, 13.
- Factorize\( (936) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 13\)
- Factorize\( (1638) = \) \(1\times 2\times 3\times 3\times 7\times 13\)
Now we need to find any which are common for each number (1, 2, 3, 3, 13) and multiply these numbers together.
\(GCF(936, 1638) = 1\times 2\times 3\times 3\times 13 = 234\).
Greatest Common Factor of 936 and 1638 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 1638 leaving a remainder zero is 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
As you can see, 234 is the greatest and common number that 936 and 1638 divides into.
So the greatest common factor 936 and 1638 is 234.
\(GCF(936, 1638) = 234\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
