Greatest Common Factor of 216 and 1702
GCF(216, 1702) = 2, Greatest common factor of 216 and 1702 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 216 and 1702. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 216 and 1702 by prime factorization method
We will first find the prime factorization of 216 and 1702.
Prime Factorization of 216 is 1, 2, 2, 2, 3, 3, 3 and Prime Factorization of 1702 is 1, 2, 23, 37.
- Factorize\( (216) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 3\)
- Factorize\( (1702) = \) \(1\times 2\times 23\times 37\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(216, 1702) = 1\times 2 = 2\).
Greatest Common Factor of 216 and 1702 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 1702 leaving a remainder zero is 1, 2, 23, 37, 46, 74, 851, 1702
As you can see, 2 is the greatest and common number that 216 and 1702 divides into.
So the greatest common factor 216 and 1702 is 2.
\(GCF(216, 1702) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
