Greatest Common Factor of 68 and 1034
GCF(68, 1034) = 2, Greatest common factor of 68 and 1034 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 68 and 1034. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 68 and 1034 by prime factorization method
We will first find the prime factorization of 68 and 1034.
Prime Factorization of 68 is 1, 2, 2, 17 and Prime Factorization of 1034 is 1, 2, 11, 47.
- Factorize\( (68) = \) \(1\times 2\times 2\times 17\)
- Factorize\( (1034) = \) \(1\times 2\times 11\times 47\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(68, 1034) = 1\times 2 = 2\).
Greatest Common Factor of 68 and 1034 by matching factors method
List of positive integers factors of 68 leaving a remainder zero is 1, 2, 4, 17, 34, 68
List of positive integers factors of 1034 leaving a remainder zero is 1, 2, 11, 22, 47, 94, 517, 1034
As you can see, 2 is the greatest and common number that 68 and 1034 divides into.
So the greatest common factor 68 and 1034 is 2.
\(GCF(68, 1034) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
