Greatest Common Factor of 1616 and 1624
GCF(1616, 1624) = 8, Greatest common factor of 1616 and 1624 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 1616 and 1624. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1616 and 1624 by prime factorization method
We will first find the prime factorization of 1616 and 1624.
Prime Factorization of 1616 is 1, 2, 2, 2, 2, 101 and Prime Factorization of 1624 is 1, 2, 2, 2, 7, 29.
- Factorize\( (1616) = \) \(1\times 2\times 2\times 2\times 2\times 101\)
- Factorize\( (1624) = \) \(1\times 2\times 2\times 2\times 7\times 29\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(1616, 1624) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 1616 and 1624 by matching factors method
List of positive integers factors of 1616 leaving a remainder zero is 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616
List of positive integers factors of 1624 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
As you can see, 8 is the greatest and common number that 1616 and 1624 divides into.
So the greatest common factor 1616 and 1624 is 8.
\(GCF(1616, 1624) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
