Greatest Common Factor of 928 and 4988
GCF(928, 4988) = 116, Greatest common factor of 928 and 4988 is 116. 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 928 and 4988. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 928 and 4988 by prime factorization method
We will first find the prime factorization of 928 and 4988.
Prime Factorization of 928 is 1, 2, 2, 2, 2, 2, 29 and Prime Factorization of 4988 is 1, 2, 2, 29, 43.
- Factorize\( (928) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 29\)
- Factorize\( (4988) = \) \(1\times 2\times 2\times 29\times 43\)
Now we need to find any which are common for each number (1, 2, 2, 29) and multiply these numbers together.
\(GCF(928, 4988) = 1\times 2\times 2\times 29 = 116\).
Greatest Common Factor of 928 and 4988 by matching factors method
List of positive integers factors of 928 leaving a remainder zero is 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
List of positive integers factors of 4988 leaving a remainder zero is 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988
As you can see, 116 is the greatest and common number that 928 and 4988 divides into.
So the greatest common factor 928 and 4988 is 116.
\(GCF(928, 4988) = 116\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
