Greatest Common Factor of 240 and 3736
GCF(240, 3736) = 8, Greatest common factor of 240 and 3736 is 8. 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 3736. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 240 and 3736 by prime factorization method
We will first find the prime factorization of 240 and 3736.
Prime Factorization of 240 is 1, 2, 2, 2, 2, 3, 5 and Prime Factorization of 3736 is 1, 2, 2, 2, 467.
- Factorize\( (240) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (3736) = \) \(1\times 2\times 2\times 2\times 467\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(240, 3736) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 240 and 3736 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 3736 leaving a remainder zero is 1, 2, 4, 8, 467, 934, 1868, 3736
As you can see, 8 is the greatest and common number that 240 and 3736 divides into.
So the greatest common factor 240 and 3736 is 8.
\(GCF(240, 3736) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
