Greatest Common Factor of 52 and 1006
GCF(52, 1006) = 2, Greatest common factor of 52 and 1006 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 52 and 1006. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 52 and 1006 by prime factorization method
We will first find the prime factorization of 52 and 1006.
Prime Factorization of 52 is 1, 2, 2, 13 and Prime Factorization of 1006 is 1, 2, 503.
- Factorize\( (52) = \) \(1\times 2\times 2\times 13\)
- Factorize\( (1006) = \) \(1\times 2\times 503\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(52, 1006) = 1\times 2 = 2\).
Greatest Common Factor of 52 and 1006 by matching factors method
List of positive integers factors of 52 leaving a remainder zero is 1, 2, 4, 13, 26, 52
List of positive integers factors of 1006 leaving a remainder zero is 1, 2, 503, 1006
As you can see, 2 is the greatest and common number that 52 and 1006 divides into.
So the greatest common factor 52 and 1006 is 2.
\(GCF(52, 1006) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
