What is the Greatest Common Factor of 54009 and 54027?

Greatest common factor (GCF) of 54009 and 54027 is 9.

GCF(54009,54027) = 9

We will now calculate the prime factors of 54009 and 54027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54009 and 54027.

How to find the GCF of 54009 and 54027?

We will first find the prime factorization of 54009 and 54027. After we will calculate the factors of 54009 and 54027 and find the biggest common factor number .

Step-1: Prime Factorization of 54009

Prime factors of 54009 are 3, 17, 353. Prime factorization of 54009 in exponential form is:

54009 = 3² × 17¹ × 353¹

Step-2: Prime Factorization of 54027

Prime factors of 54027 are 3, 23, 29. Prime factorization of 54027 in exponential form is:

54027 = 3⁴ × 23¹ × 29¹

Step-3: Factors of 54009

List of positive integer factors of 54009 that divides 54009 without a remainder.

1, 3, 9, 17, 51, 153, 353, 1059, 3177, 6001, 18003

Step-4: Factors of 54027

List of positive integer factors of 54027 that divides 54009 without a remainder.

1, 3, 9, 23, 27, 29, 69, 81, 87, 207, 261, 621, 667, 783, 1863, 2001, 2349, 6003, 18009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54009 and 54027. The biggest common factor number is the GCF number.
So the greatest common factor 54009 and 54027 is 9.

Also check out the Least Common Multiple of 54009 and 54027