Greatest Common Factor of 160 and 6744
GCF(160, 6744) = 8, Greatest common factor of 160 and 6744 is 8. 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 160 and 6744. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 6744 by prime factorization method
We will first find the prime factorization of 160 and 6744.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 6744 is 1, 2, 2, 2, 3, 281.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (6744) = \) \(1\times 2\times 2\times 2\times 3\times 281\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(160, 6744) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 160 and 6744 by matching factors method
List of positive integers factors of 160 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
List of positive integers factors of 6744 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744
As you can see, 8 is the greatest and common number that 160 and 6744 divides into.
So the greatest common factor 160 and 6744 is 8.
\(GCF(160, 6744) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
