Greatest Common Factor of 160 and 230
GCF(160, 230) = 10, Greatest common factor of 160 and 230 is 10. 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 160 and 230. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 230 by prime factorization method
We will first find the prime factorization of 160 and 230.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 230 is 1, 2, 5, 23.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (230) = \) \(1\times 2\times 5\times 23\)
Now we need to find any which are common for each number (1, 2, 5) and multiply these numbers together.
\(GCF(160, 230) = 1\times 2\times 5 = 10\).
Greatest Common Factor of 160 and 230 by matching factors method
List of positive integers factors of 160 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
List of positive integers factors of 230 leaving a remainder zero is 1, 2, 5, 10, 23, 46, 115, 230
As you can see, 10 is the greatest and common number that 160 and 230 divides into.
So the greatest common factor 160 and 230 is 10.
\(GCF(160, 230) = 10\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
