Greatest Common Factor of 3324 and 1662
GCF(3324, 1662) = 1662, Greatest common factor of 3324 and 1662 is 1662. 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 3324 and 1662. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 3324 and 1662 by prime factorization method
We will first find the prime factorization of 3324 and 1662.
Prime Factorization of 3324 is 1, 2, 2, 3, 277 and Prime Factorization of 1662 is 1, 2, 3, 277.
- Factorize\( (3324) = \) \(1\times 2\times 2\times 3\times 277\)
- Factorize\( (1662) = \) \(1\times 2\times 3\times 277\)
Now we need to find any which are common for each number (1, 2, 3, 277) and multiply these numbers together.
\(GCF(3324, 1662) = 1\times 2\times 3\times 277 = 1662\).
Greatest Common Factor of 3324 and 1662 by matching factors method
List of positive integers factors of 3324 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324
List of positive integers factors of 1662 leaving a remainder zero is 1, 2, 3, 6, 277, 554, 831, 1662
As you can see, 1662 is the greatest and common number that 3324 and 1662 divides into.
So the greatest common factor 3324 and 1662 is 1662.
\(GCF(3324, 1662) = 1662\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
