Greatest Common Factor of 1044 and 1218
GCF(1044, 1218) = 174, Greatest common factor of 1044 and 1218 is 174. 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 1044 and 1218. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1044 and 1218 by prime factorization method
We will first find the prime factorization of 1044 and 1218.
Prime Factorization of 1044 is 1, 2, 2, 3, 3, 29 and Prime Factorization of 1218 is 1, 2, 3, 7, 29.
- Factorize\( (1044) = \) \(1\times 2\times 2\times 3\times 3\times 29\)
- Factorize\( (1218) = \) \(1\times 2\times 3\times 7\times 29\)
Now we need to find any which are common for each number (1, 2, 3, 29) and multiply these numbers together.
\(GCF(1044, 1218) = 1\times 2\times 3\times 29 = 174\).
Greatest Common Factor of 1044 and 1218 by matching factors method
List of positive integers factors of 1044 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
List of positive integers factors of 1218 leaving a remainder zero is 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218
As you can see, 174 is the greatest and common number that 1044 and 1218 divides into.
So the greatest common factor 1044 and 1218 is 174.
\(GCF(1044, 1218) = 174\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
