Greatest Common Factor of 68 and 356
GCF(68, 356) = 4, Greatest common factor of 68 and 356 is 4. 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 68 and 356. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 68 and 356 by prime factorization method
We will first find the prime factorization of 68 and 356.
Prime Factorization of 68 is 1, 2, 2, 17 and Prime Factorization of 356 is 1, 2, 2, 89.
- Factorize\( (68) = \) \(1\times 2\times 2\times 17\)
- Factorize\( (356) = \) \(1\times 2\times 2\times 89\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(68, 356) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 68 and 356 by matching factors method
List of positive integers factors of 68 leaving a remainder zero is 1, 2, 4, 17, 34, 68
List of positive integers factors of 356 leaving a remainder zero is 1, 2, 4, 89, 178, 356
As you can see, 4 is the greatest and common number that 68 and 356 divides into.
So the greatest common factor 68 and 356 is 4.
\(GCF(68, 356) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
