Greatest Common Factor of 1604 and 2406
GCF(1604, 2406) = 802, Greatest common factor of 1604 and 2406 is 802. 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 1604 and 2406. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1604 and 2406 by prime factorization method
We will first find the prime factorization of 1604 and 2406.
Prime Factorization of 1604 is 1, 2, 2, 401 and Prime Factorization of 2406 is 1, 2, 3, 401.
- Factorize\( (1604) = \) \(1\times 2\times 2\times 401\)
- Factorize\( (2406) = \) \(1\times 2\times 3\times 401\)
Now we need to find any which are common for each number (1, 2, 401) and multiply these numbers together.
\(GCF(1604, 2406) = 1\times 2\times 401 = 802\).
Greatest Common Factor of 1604 and 2406 by matching factors method
List of positive integers factors of 1604 leaving a remainder zero is 1, 2, 4, 401, 802, 1604
List of positive integers factors of 2406 leaving a remainder zero is 1, 2, 3, 6, 401, 802, 1203, 2406
As you can see, 802 is the greatest and common number that 1604 and 2406 divides into.
So the greatest common factor 1604 and 2406 is 802.
\(GCF(1604, 2406) = 802\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
