Greatest Common Factor of 200 and 8240
GCF(200, 8240) = 40, Greatest common factor of 200 and 8240 is 40. 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 200 and 8240. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 200 and 8240 by prime factorization method
We will first find the prime factorization of 200 and 8240.
Prime Factorization of 200 is 1, 2, 2, 2, 5, 5 and Prime Factorization of 8240 is 1, 2, 2, 2, 2, 5, 103.
- Factorize\( (200) = \) \(1\times 2\times 2\times 2\times 5\times 5\)
- Factorize\( (8240) = \) \(1\times 2\times 2\times 2\times 2\times 5\times 103\)
Now we need to find any which are common for each number (1, 2, 2, 2, 5) and multiply these numbers together.
\(GCF(200, 8240) = 1\times 2\times 2\times 2\times 5 = 40\).
Greatest Common Factor of 200 and 8240 by matching factors method
List of positive integers factors of 200 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
List of positive integers factors of 8240 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240
As you can see, 40 is the greatest and common number that 200 and 8240 divides into.
So the greatest common factor 200 and 8240 is 40.
\(GCF(200, 8240) = 40\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
