Greatest Common Factor of 216 and 8478
GCF(216, 8478) = 54, Greatest common factor of 216 and 8478 is 54. 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 8478. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 216 and 8478 by prime factorization method
We will first find the prime factorization of 216 and 8478.
Prime Factorization of 216 is 1, 2, 2, 2, 3, 3, 3 and Prime Factorization of 8478 is 1, 2, 3, 3, 3, 157.
- Factorize\( (216) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 3\)
- Factorize\( (8478) = \) \(1\times 2\times 3\times 3\times 3\times 157\)
Now we need to find any which are common for each number (1, 2, 3, 3, 3) and multiply these numbers together.
\(GCF(216, 8478) = 1\times 2\times 3\times 3\times 3 = 54\).
Greatest Common Factor of 216 and 8478 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 8478 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
As you can see, 54 is the greatest and common number that 216 and 8478 divides into.
So the greatest common factor 216 and 8478 is 54.
\(GCF(216, 8478) = 54\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
