Greatest Common Factor of 240 and 6924
GCF(240, 6924) = 12, Greatest common factor of 240 and 6924 is 12. 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 6924. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 240 and 6924 by prime factorization method
We will first find the prime factorization of 240 and 6924.
Prime Factorization of 240 is 1, 2, 2, 2, 2, 3, 5 and Prime Factorization of 6924 is 1, 2, 2, 3, 577.
- Factorize\( (240) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (6924) = \) \(1\times 2\times 2\times 3\times 577\)
Now we need to find any which are common for each number (1, 2, 2, 3) and multiply these numbers together.
\(GCF(240, 6924) = 1\times 2\times 2\times 3 = 12\).
Greatest Common Factor of 240 and 6924 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 6924 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
As you can see, 12 is the greatest and common number that 240 and 6924 divides into.
So the greatest common factor 240 and 6924 is 12.
\(GCF(240, 6924) = 12\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
