Greatest Common Factor of 152 and 9239

GCF(152, 9239) = 1, Greatest common factor of 152 and 9239 is 1. 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 9239. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 152 and 9239 by prime factorization method

We will first find the prime factorization of 152 and 9239.
Prime Factorization of 152 is 1, 2, 2, 2, 19 and Prime Factorization of 9239 is 1, 9239.

  • Factorize\( (152) = \) \(1\times 2\times 2\times 2\times 19\)
  • Factorize\( (9239) = \) \(1\times 9239\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(152, 9239) = 1\times 1 = 1\).

Greatest Common Factor of 152 and 9239 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 9239 leaving a remainder zero is 1, 9239
As you can see, 1 is the greatest and common number that 152 and 9239 divides into.
So the greatest common factor 152 and 9239 is 1.
\(GCF(152, 9239) = 1\).

If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
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