What is the Greatest Common Factor of 54675 and 54690?

Greatest common factor (GCF) of 54675 and 54690 is 15.

GCF(54675,54690) = 15

We will now calculate the prime factors of 54675 and 54690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54675 and 54690.

How to find the GCF of 54675 and 54690?

We will first find the prime factorization of 54675 and 54690. After we will calculate the factors of 54675 and 54690 and find the biggest common factor number .

Step-1: Prime Factorization of 54675

Prime factors of 54675 are 3, 5. Prime factorization of 54675 in exponential form is:

54675 = 3⁷ × 5²

Step-2: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-3: Factors of 54675

List of positive integer factors of 54675 that divides 54675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 729, 1215, 2025, 2187, 3645, 6075, 10935, 18225

Step-4: Factors of 54690

List of positive integer factors of 54690 that divides 54675 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54675 and 54690. The biggest common factor number is the GCF number.
So the greatest common factor 54675 and 54690 is 15.

Also check out the Least Common Multiple of 54675 and 54690