Greatest Common Factor of 224 and 1568
GCF(224, 1568) = 224, Greatest common factor of 224 and 1568 is 224. 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 224 and 1568. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 224 and 1568 by prime factorization method
We will first find the prime factorization of 224 and 1568.
Prime Factorization of 224 is 1, 2, 2, 2, 2, 2, 7 and Prime Factorization of 1568 is 1, 2, 2, 2, 2, 2, 7, 7.
- Factorize\( (224) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 7\)
- Factorize\( (1568) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 7\times 7\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2, 7) and multiply these numbers together.
\(GCF(224, 1568) = 1\times 2\times 2\times 2\times 2\times 2\times 7 = 224\).
Greatest Common Factor of 224 and 1568 by matching factors method
List of positive integers factors of 224 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
List of positive integers factors of 1568 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568
As you can see, 224 is the greatest and common number that 224 and 1568 divides into.
So the greatest common factor 224 and 1568 is 224.
\(GCF(224, 1568) = 224\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
