Greatest Common Factor of 160 and 5174
GCF(160, 5174) = 2, Greatest common factor of 160 and 5174 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 5174. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 5174 by prime factorization method
We will first find the prime factorization of 160 and 5174.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 5174 is 1, 2, 13, 199.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (5174) = \) \(1\times 2\times 13\times 199\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(160, 5174) = 1\times 2 = 2\).
Greatest Common Factor of 160 and 5174 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 5174 leaving a remainder zero is 1, 2, 13, 26, 199, 398, 2587, 5174
As you can see, 2 is the greatest and common number that 160 and 5174 divides into.
So the greatest common factor 160 and 5174 is 2.
\(GCF(160, 5174) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
