Greatest Common Factor of 208 and 8245
GCF(208, 8245) = 1, Greatest common factor of 208 and 8245 is 1. 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 208 and 8245. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 208 and 8245 by prime factorization method
We will first find the prime factorization of 208 and 8245.
Prime Factorization of 208 is 1, 2, 2, 2, 2, 13 and Prime Factorization of 8245 is 1, 5, 17, 97.
- Factorize\( (208) = \) \(1\times 2\times 2\times 2\times 2\times 13\)
- Factorize\( (8245) = \) \(1\times 5\times 17\times 97\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(208, 8245) = 1\times 1 = 1\).
Greatest Common Factor of 208 and 8245 by matching factors method
List of positive integers factors of 208 leaving a remainder zero is 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
List of positive integers factors of 8245 leaving a remainder zero is 1, 5, 17, 85, 97, 485, 1649, 8245
As you can see, 1 is the greatest and common number that 208 and 8245 divides into.
So the greatest common factor 208 and 8245 is 1.
\(GCF(208, 8245) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
