Greatest Common Factor of 1 and 7548

GCF(1, 7548) = 1, Greatest common factor of 1 and 7548 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 1 and 7548. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 1 and 7548 by prime factorization method

We will first find the prime factorization of 1 and 7548.
Prime Factorization of 1 is 1, 1 and Prime Factorization of 7548 is 1, 2, 2, 3, 17, 37.

  • Factorize\( (1) = \) \(1\times 1\)
  • Factorize\( (7548) = \) \(1\times 2\times 2\times 3\times 17\times 37\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(1, 7548) = 1\times 1 = 1\).

Greatest Common Factor of 1 and 7548 by matching factors method

List of positive integers factors of 1 leaving a remainder zero is 1
List of positive integers factors of 7548 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
As you can see, 1 is the greatest and common number that 1 and 7548 divides into.
So the greatest common factor 1 and 7548 is 1.
\(GCF(1, 7548) = 1\).

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