Greatest Common Factor of 268 and 402
GCF(268, 402) = 134, Greatest common factor of 268 and 402 is 134. 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 268 and 402. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 268 and 402 by prime factorization method
We will first find the prime factorization of 268 and 402.
Prime Factorization of 268 is 1, 2, 2, 67 and Prime Factorization of 402 is 1, 2, 3, 67.
- Factorize\( (268) = \) \(1\times 2\times 2\times 67\)
- Factorize\( (402) = \) \(1\times 2\times 3\times 67\)
Now we need to find any which are common for each number (1, 2, 67) and multiply these numbers together.
\(GCF(268, 402) = 1\times 2\times 67 = 134\).
Greatest Common Factor of 268 and 402 by matching factors method
List of positive integers factors of 268 leaving a remainder zero is 1, 2, 4, 67, 134, 268
List of positive integers factors of 402 leaving a remainder zero is 1, 2, 3, 6, 67, 134, 201, 402
As you can see, 134 is the greatest and common number that 268 and 402 divides into.
So the greatest common factor 268 and 402 is 134.
\(GCF(268, 402) = 134\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
