Greatest Common Factor of 48 and 13750
GCF(48, 13750) = 2, Greatest common factor of 48 and 13750 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 48 and 13750. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 13750 by prime factorization method
We will first find the prime factorization of 48 and 13750.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 13750 is 1, 2, 5, 5, 5, 5, 11.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (13750) = \) \(1\times 2\times 5\times 5\times 5\times 5\times 11\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(48, 13750) = 1\times 2 = 2\).
Greatest Common Factor of 48 and 13750 by matching factors method
List of positive integers factors of 48 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
List of positive integers factors of 13750 leaving a remainder zero is 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 625, 1250, 1375, 2750, 6875, 13750
As you can see, 2 is the greatest and common number that 48 and 13750 divides into.
So the greatest common factor 48 and 13750 is 2.
\(GCF(48, 13750) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
