Greatest Common Factor of 4708 and 5472
GCF(4708, 5472) = 4, Greatest common factor of 4708 and 5472 is 4. 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 4708 and 5472. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 4708 and 5472 by prime factorization method
We will first find the prime factorization of 4708 and 5472.
Prime Factorization of 4708 is 1, 2, 2, 11, 107 and Prime Factorization of 5472 is 1, 2, 2, 2, 2, 2, 3, 3, 19.
- Factorize\( (4708) = \) \(1\times 2\times 2\times 11\times 107\)
- Factorize\( (5472) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 19\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(4708, 5472) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 4708 and 5472 by matching factors method
List of positive integers factors of 4708 leaving a remainder zero is 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708
List of positive integers factors of 5472 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
As you can see, 4 is the greatest and common number that 4708 and 5472 divides into.
So the greatest common factor 4708 and 5472 is 4.
\(GCF(4708, 5472) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
