Greatest Common Factor of 88 and 12486
GCF(88, 12486) = 2, Greatest common factor of 88 and 12486 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 88 and 12486. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 88 and 12486 by prime factorization method
We will first find the prime factorization of 88 and 12486.
Prime Factorization of 88 is 1, 2, 2, 2, 11 and Prime Factorization of 12486 is 1, 2, 3, 2081.
- Factorize\( (88) = \) \(1\times 2\times 2\times 2\times 11\)
- Factorize\( (12486) = \) \(1\times 2\times 3\times 2081\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(88, 12486) = 1\times 2 = 2\).
Greatest Common Factor of 88 and 12486 by matching factors method
List of positive integers factors of 88 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 44, 88
List of positive integers factors of 12486 leaving a remainder zero is 1, 2, 3, 6, 2081, 4162, 6243, 12486
As you can see, 2 is the greatest and common number that 88 and 12486 divides into.
So the greatest common factor 88 and 12486 is 2.
\(GCF(88, 12486) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.