Greatest Common Factor of 1608 and 1608
GCF(1608, 1608) = 1608, Greatest common factor of 1608 and 1608 is 1608. 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 1608 and 1608. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1608 and 1608 by prime factorization method
We will first find the prime factorization of 1608 and 1608.
Prime Factorization of 1608 is 1, 2, 2, 2, 3, 67 and Prime Factorization of 1608 is 1, 2, 2, 2, 3, 67.
- Factorize\( (1608) = \) \(1\times 2\times 2\times 2\times 3\times 67\)
- Factorize\( (1608) = \) \(1\times 2\times 2\times 2\times 3\times 67\)
Now we need to find any which are common for each number (1, 2, 2, 2, 3, 67) and multiply these numbers together.
\(GCF(1608, 1608) = 1\times 2\times 2\times 2\times 3\times 67 = 1608\).
Greatest Common Factor of 1608 and 1608 by matching factors method
List of positive integers factors of 1608 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
List of positive integers factors of 1608 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
As you can see, 1608 is the greatest and common number that 1608 and 1608 divides into.
So the greatest common factor 1608 and 1608 is 1608.
\(GCF(1608, 1608) = 1608\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
