Greatest Common Factor of 160 and 7064
GCF(160, 7064) = 8, Greatest common factor of 160 and 7064 is 8. 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 7064. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 160 and 7064 by prime factorization method
We will first find the prime factorization of 160 and 7064.
Prime Factorization of 160 is 1, 2, 2, 2, 2, 2, 5 and Prime Factorization of 7064 is 1, 2, 2, 2, 883.
- Factorize\( (160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (7064) = \) \(1\times 2\times 2\times 2\times 883\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(160, 7064) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 160 and 7064 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 7064 leaving a remainder zero is 1, 2, 4, 8, 883, 1766, 3532, 7064
As you can see, 8 is the greatest and common number that 160 and 7064 divides into.
So the greatest common factor 160 and 7064 is 8.
\(GCF(160, 7064) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
