What is the Greatest Common Factor of 54660 and 54675?

Greatest common factor (GCF) of 54660 and 54675 is 15.

GCF(54660,54675) = 15

We will now calculate the prime factors of 54660 and 54675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54660 and 54675.

How to find the GCF of 54660 and 54675?

We will first find the prime factorization of 54660 and 54675. After we will calculate the factors of 54660 and 54675 and find the biggest common factor number .

Step-1: Prime Factorization of 54660

Prime factors of 54660 are 2, 3, 5, 911. Prime factorization of 54660 in exponential form is:

54660 = 2² × 3¹ × 5¹ × 911¹

Step-2: Prime Factorization of 54675

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

54675 = 3⁷ × 5²

Step-3: Factors of 54660

List of positive integer factors of 54660 that divides 54660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 911, 1822, 2733, 3644, 4555, 5466, 9110, 10932, 13665, 18220, 27330

Step-4: Factors of 54675

List of positive integer factors of 54675 that divides 54660 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54660 and 54675. The biggest common factor number is the GCF number.
So the greatest common factor 54660 and 54675 is 15.

Also check out the Least Common Multiple of 54660 and 54675