Greatest Common Factor of 240 and 7527
GCF(240, 7527) = 3, Greatest common factor of 240 and 7527 is 3. 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 7527. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 240 and 7527 by prime factorization method
We will first find the prime factorization of 240 and 7527.
Prime Factorization of 240 is 1, 2, 2, 2, 2, 3, 5 and Prime Factorization of 7527 is 1, 3, 13, 193.
- Factorize\( (240) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (7527) = \) \(1\times 3\times 13\times 193\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(240, 7527) = 1\times 3 = 3\).
Greatest Common Factor of 240 and 7527 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 7527 leaving a remainder zero is 1, 3, 13, 39, 193, 579, 2509, 7527
As you can see, 3 is the greatest and common number that 240 and 7527 divides into.
So the greatest common factor 240 and 7527 is 3.
\(GCF(240, 7527) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
