Greatest Common Factor of 24 and 2974
GCF(24, 2974) = 2, Greatest common factor of 24 and 2974 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 24 and 2974. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 24 and 2974 by prime factorization method
We will first find the prime factorization of 24 and 2974.
Prime Factorization of 24 is 1, 2, 2, 2, 3 and Prime Factorization of 2974 is 1, 2, 1487.
- Factorize\( (24) = \) \(1\times 2\times 2\times 2\times 3\)
- Factorize\( (2974) = \) \(1\times 2\times 1487\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(24, 2974) = 1\times 2 = 2\).
Greatest Common Factor of 24 and 2974 by matching factors method
List of positive integers factors of 24 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24
List of positive integers factors of 2974 leaving a remainder zero is 1, 2, 1487, 2974
As you can see, 2 is the greatest and common number that 24 and 2974 divides into.
So the greatest common factor 24 and 2974 is 2.
\(GCF(24, 2974) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
