Greatest Common Factor of 204 and 1353
GCF(204, 1353) = 3, Greatest common factor of 204 and 1353 is 3. 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 204 and 1353. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 204 and 1353 by prime factorization method
We will first find the prime factorization of 204 and 1353.
Prime Factorization of 204 is 1, 2, 2, 3, 17 and Prime Factorization of 1353 is 1, 3, 11, 41.
- Factorize\( (204) = \) \(1\times 2\times 2\times 3\times 17\)
- Factorize\( (1353) = \) \(1\times 3\times 11\times 41\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(204, 1353) = 1\times 3 = 3\).
Greatest Common Factor of 204 and 1353 by matching factors method
List of positive integers factors of 204 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
List of positive integers factors of 1353 leaving a remainder zero is 1, 3, 11, 33, 41, 123, 451, 1353
As you can see, 3 is the greatest and common number that 204 and 1353 divides into.
So the greatest common factor 204 and 1353 is 3.
\(GCF(204, 1353) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
