Greatest Common Factor of 152 and 3744
GCF(152, 3744) = 8, Greatest common factor of 152 and 3744 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 152 and 3744. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 152 and 3744 by prime factorization method
We will first find the prime factorization of 152 and 3744.
Prime Factorization of 152 is 1, 2, 2, 2, 19 and Prime Factorization of 3744 is 1, 2, 2, 2, 2, 2, 3, 3, 13.
- Factorize\( (152) = \) \(1\times 2\times 2\times 2\times 19\)
- Factorize\( (3744) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 13\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(152, 3744) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 152 and 3744 by matching factors method
List of positive integers factors of 152 leaving a remainder zero is 1, 2, 4, 8, 19, 38, 76, 152
List of positive integers factors of 3744 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
As you can see, 8 is the greatest and common number that 152 and 3744 divides into.
So the greatest common factor 152 and 3744 is 8.
\(GCF(152, 3744) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
