Greatest Common Factor of 28 and 496
GCF(28, 496) = 4, Greatest common factor of 28 and 496 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 28 and 496. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 28 and 496 by prime factorization method
We will first find the prime factorization of 28 and 496.
Prime Factorization of 28 is 1, 2, 2, 7 and Prime Factorization of 496 is 1, 2, 2, 2, 2, 31.
- Factorize\( (28) = \) \(1\times 2\times 2\times 7\)
- Factorize\( (496) = \) \(1\times 2\times 2\times 2\times 2\times 31\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(28, 496) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 28 and 496 by matching factors method
List of positive integers factors of 28 leaving a remainder zero is 1, 2, 4, 7, 14, 28
List of positive integers factors of 496 leaving a remainder zero is 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
As you can see, 4 is the greatest and common number that 28 and 496 divides into.
So the greatest common factor 28 and 496 is 4.
\(GCF(28, 496) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
