Greatest Common Factor of 912 and 3420
GCF(912, 3420) = 228, Greatest common factor of 912 and 3420 is 228. 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 912 and 3420. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 912 and 3420 by prime factorization method
We will first find the prime factorization of 912 and 3420.
Prime Factorization of 912 is 1, 2, 2, 2, 2, 3, 19 and Prime Factorization of 3420 is 1, 2, 2, 3, 3, 5, 19.
- Factorize\( (912) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 19\)
- Factorize\( (3420) = \) \(1\times 2\times 2\times 3\times 3\times 5\times 19\)
Now we need to find any which are common for each number (1, 2, 2, 3, 19) and multiply these numbers together.
\(GCF(912, 3420) = 1\times 2\times 2\times 3\times 19 = 228\).
Greatest Common Factor of 912 and 3420 by matching factors method
List of positive integers factors of 912 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
List of positive integers factors of 3420 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
As you can see, 228 is the greatest and common number that 912 and 3420 divides into.
So the greatest common factor 912 and 3420 is 228.
\(GCF(912, 3420) = 228\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
