Greatest Common Factor of 928 and 5072
GCF(928, 5072) = 16, Greatest common factor of 928 and 5072 is 16. 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 5072. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 928 and 5072 by prime factorization method
We will first find the prime factorization of 928 and 5072.
Prime Factorization of 928 is 1, 2, 2, 2, 2, 2, 29 and Prime Factorization of 5072 is 1, 2, 2, 2, 2, 317.
- Factorize\( (928) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 29\)
- Factorize\( (5072) = \) \(1\times 2\times 2\times 2\times 2\times 317\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2) and multiply these numbers together.
\(GCF(928, 5072) = 1\times 2\times 2\times 2\times 2 = 16\).
Greatest Common Factor of 928 and 5072 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 5072 leaving a remainder zero is 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072
As you can see, 16 is the greatest and common number that 928 and 5072 divides into.
So the greatest common factor 928 and 5072 is 16.
\(GCF(928, 5072) = 16\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
