Greatest Common Factor of 160 and 3818
GCF(160, 3818) = 2, Greatest common factor of 160 and 3818 is 2. 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 3818. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 3818 by prime factorization method
We will first find the prime factorization of 160 and 3818.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 3818 is 1, 2, 23, 83.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (3818) = \) \(1\times 2\times 23\times 83\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(160, 3818) = 1\times 2 = 2\).
Greatest Common Factor of 160 and 3818 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 3818 leaving a remainder zero is 1, 2, 23, 46, 83, 166, 1909, 3818
As you can see, 2 is the greatest and common number that 160 and 3818 divides into.
So the greatest common factor 160 and 3818 is 2.
\(GCF(160, 3818) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
