Greatest Common Factor of 160 and 7668
GCF(160, 7668) = 4, Greatest common factor of 160 and 7668 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 160 and 7668. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 7668 by prime factorization method
We will first find the prime factorization of 160 and 7668.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 7668 is 1, 2, 2, 3, 3, 3, 71.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (7668) = \) \(1\times 2\times 2\times 3\times 3\times 3\times 71\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(160, 7668) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 160 and 7668 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 7668 leaving a remainder zero is 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
As you can see, 4 is the greatest and common number that 160 and 7668 divides into.
So the greatest common factor 160 and 7668 is 4.
\(GCF(160, 7668) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
