Greatest Common Factor of 1216 and 1824
GCF(1216, 1824) = 608, Greatest common factor of 1216 and 1824 is 608. 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 1216 and 1824. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1216 and 1824 by prime factorization method
We will first find the prime factorization of 1216 and 1824.
Prime Factorization of 1216 is 1, 2, 2, 2, 2, 2, 2, 19 and Prime Factorization of 1824 is 1, 2, 2, 2, 2, 2, 3, 19.
- Factorize\( (1216) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 19\)
- Factorize\( (1824) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\times 19\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2, 19) and multiply these numbers together.
\(GCF(1216, 1824) = 1\times 2\times 2\times 2\times 2\times 2\times 19 = 608\).
Greatest Common Factor of 1216 and 1824 by matching factors method
List of positive integers factors of 1216 leaving a remainder zero is 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
List of positive integers factors of 1824 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824
As you can see, 608 is the greatest and common number that 1216 and 1824 divides into.
So the greatest common factor 1216 and 1824 is 608.
\(GCF(1216, 1824) = 608\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
