Greatest Common Factor of 216 and 1698
GCF(216, 1698) = 6, Greatest common factor of 216 and 1698 is 6. 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 216 and 1698. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 216 and 1698 by prime factorization method
We will first find the prime factorization of 216 and 1698.
Prime Factorization of 216 is 1, 2, 2, 2, 3, 3, 3 and Prime Factorization of 1698 is 1, 2, 3, 283.
- Factorize\( (216) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 3\)
- Factorize\( (1698) = \) \(1\times 2\times 3\times 283\)
Now we need to find any which are common for each number (1, 2, 3) and multiply these numbers together.
\(GCF(216, 1698) = 1\times 2\times 3 = 6\).
Greatest Common Factor of 216 and 1698 by matching factors method
List of positive integers factors of 216 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
List of positive integers factors of 1698 leaving a remainder zero is 1, 2, 3, 6, 283, 566, 849, 1698
As you can see, 6 is the greatest and common number that 216 and 1698 divides into.
So the greatest common factor 216 and 1698 is 6.
\(GCF(216, 1698) = 6\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
