Greatest Common Factor of 160 and 3916
GCF(160, 3916) = 4, Greatest common factor of 160 and 3916 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 3916. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 3916 by prime factorization method
We will first find the prime factorization of 160 and 3916.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 3916 is 1, 2, 2, 11, 89.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (3916) = \) \(1\times 2\times 2\times 11\times 89\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(160, 3916) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 160 and 3916 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 3916 leaving a remainder zero is 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916
As you can see, 4 is the greatest and common number that 160 and 3916 divides into.
So the greatest common factor 160 and 3916 is 4.
\(GCF(160, 3916) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
