Greatest Common Factor of 216 and 1431
GCF(216, 1431) = 27, Greatest common factor of 216 and 1431 is 27. 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 1431. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 216 and 1431 by prime factorization method
We will first find the prime factorization of 216 and 1431.
Prime Factorization of 216 is 1, 2, 2, 2, 3, 3, 3 and Prime Factorization of 1431 is 1, 3, 3, 3, 53.
- Factorize\( (216) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 3\)
- Factorize\( (1431) = \) \(1\times 3\times 3\times 3\times 53\)
Now we need to find any which are common for each number (1, 3, 3, 3) and multiply these numbers together.
\(GCF(216, 1431) = 1\times 3\times 3\times 3 = 27\).
Greatest Common Factor of 216 and 1431 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 1431 leaving a remainder zero is 1, 3, 9, 27, 53, 159, 477, 1431
As you can see, 27 is the greatest and common number that 216 and 1431 divides into.
So the greatest common factor 216 and 1431 is 27.
\(GCF(216, 1431) = 27\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
