Greatest Common Factor of 240 and 3720
GCF(240, 3720) = 120, Greatest common factor of 240 and 3720 is 120. 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 240 and 3720. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 240 and 3720 by prime factorization method
We will first find the prime factorization of 240 and 3720.
Prime Factorization of 240 is 1, 2, 2, 2, 2, 3, 5 and Prime Factorization of 3720 is 1, 2, 2, 2, 3, 5, 31.
- Factorize\( (240) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (3720) = \) \(1\times 2\times 2\times 2\times 3\times 5\times 31\)
Now we need to find any which are common for each number (1, 2, 2, 2, 3, 5) and multiply these numbers together.
\(GCF(240, 3720) = 1\times 2\times 2\times 2\times 3\times 5 = 120\).
Greatest Common Factor of 240 and 3720 by matching factors method
List of positive integers factors of 240 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
List of positive integers factors of 3720 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
As you can see, 120 is the greatest and common number that 240 and 3720 divides into.
So the greatest common factor 240 and 3720 is 120.
\(GCF(240, 3720) = 120\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
