Greatest Common Factor of 1052 and 789
GCF(1052, 789) = 263, Greatest common factor of 1052 and 789 is 263. 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 1052 and 789. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 1052 and 789 by prime factorization method
We will first find the prime factorization of 1052 and 789.
Prime Factorization of 1052 is 1, 2, 2, 263 and Prime Factorization of 789 is 1, 3, 263.
- Factorize\( (1052) = \) \(1\times 2\times 2\times 263\)
- Factorize\( (789) = \) \(1\times 3\times 263\)
Now we need to find any which are common for each number (1, 263) and multiply these numbers together.
\(GCF(1052, 789) = 1\times 263 = 263\).
Greatest Common Factor of 1052 and 789 by matching factors method
List of positive integers factors of 1052 leaving a remainder zero is 1, 2, 4, 263, 526, 1052
List of positive integers factors of 789 leaving a remainder zero is 1, 3, 263, 789
As you can see, 263 is the greatest and common number that 1052 and 789 divides into.
So the greatest common factor 1052 and 789 is 263.
\(GCF(1052, 789) = 263\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
