Greatest Common Factor of 160 and 5408
GCF(160, 5408) = 32, Greatest common factor of 160 and 5408 is 32. 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 5408. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 5408 by prime factorization method
We will first find the prime factorization of 160 and 5408.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 5408 is 1, 2, 2, 2, 2, 2, 13, 13.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (5408) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 13\times 13\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2) and multiply these numbers together.
\(GCF(160, 5408) = 1\times 2\times 2\times 2\times 2\times 2 = 32\).
Greatest Common Factor of 160 and 5408 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 5408 leaving a remainder zero is 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
As you can see, 32 is the greatest and common number that 160 and 5408 divides into.
So the greatest common factor 160 and 5408 is 32.
\(GCF(160, 5408) = 32\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
