Greatest Common Factor of 160 and 7456
GCF(160, 7456) = 32, Greatest common factor of 160 and 7456 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 7456. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 7456 by prime factorization method
We will first find the prime factorization of 160 and 7456.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 7456 is 1, 2, 2, 2, 2, 2, 233.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (7456) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 233\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2) and multiply these numbers together.
\(GCF(160, 7456) = 1\times 2\times 2\times 2\times 2\times 2 = 32\).
Greatest Common Factor of 160 and 7456 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 7456 leaving a remainder zero is 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456
As you can see, 32 is the greatest and common number that 160 and 7456 divides into.
So the greatest common factor 160 and 7456 is 32.
\(GCF(160, 7456) = 32\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
