Greatest Common Factor of 924 and 1085
GCF(924, 1085) = 7, Greatest common factor of 924 and 1085 is 7. 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 924 and 1085. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 924 and 1085 by prime factorization method
We will first find the prime factorization of 924 and 1085.
Prime Factorization of 924 is 1, 2, 2, 3, 7, 11 and Prime Factorization of 1085 is 1, 5, 7, 31.
- Factorize\( (924) = \) \(1\times 2\times 2\times 3\times 7\times 11\)
- Factorize\( (1085) = \) \(1\times 5\times 7\times 31\)
Now we need to find any which are common for each number (1, 7) and multiply these numbers together.
\(GCF(924, 1085) = 1\times 7 = 7\).
Greatest Common Factor of 924 and 1085 by matching factors method
List of positive integers factors of 924 leaving a remainder zero is 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
List of positive integers factors of 1085 leaving a remainder zero is 1, 5, 7, 31, 35, 155, 217, 1085
As you can see, 7 is the greatest and common number that 924 and 1085 divides into.
So the greatest common factor 924 and 1085 is 7.
\(GCF(924, 1085) = 7\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
