Greatest Common Factor of 3336 and 2012
GCF(3336, 2012) = 4, Greatest common factor of 3336 and 2012 is 4. 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 3336 and 2012. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 3336 and 2012 by prime factorization method
We will first find the prime factorization of 3336 and 2012.
Prime Factorization of 3336 is 1, 2, 2, 2, 3, 139 and Prime Factorization of 2012 is 1, 2, 2, 503.
- Factorize\( (3336) = \) \(1\times 2\times 2\times 2\times 3\times 139\)
- Factorize\( (2012) = \) \(1\times 2\times 2\times 503\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(3336, 2012) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 3336 and 2012 by matching factors method
List of positive integers factors of 3336 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
List of positive integers factors of 2012 leaving a remainder zero is 1, 2, 4, 503, 1006, 2012
As you can see, 4 is the greatest and common number that 3336 and 2012 divides into.
So the greatest common factor 3336 and 2012 is 4.
\(GCF(3336, 2012) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
