What is the Greatest Common Factor of 54027 and 54042?

Greatest common factor (GCF) of 54027 and 54042 is 3.

GCF(54027,54042) = 3

We will now calculate the prime factors of 54027 and 54042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54027 and 54042.

How to find the GCF of 54027 and 54042?

We will first find the prime factorization of 54027 and 54042. After we will calculate the factors of 54027 and 54042 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54042

Prime factors of 54042 are 2, 3, 9007. Prime factorization of 54042 in exponential form is:

54042 = 2¹ × 3¹ × 9007¹

Step-3: Factors of 54027

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

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

Step-4: Factors of 54042

List of positive integer factors of 54042 that divides 54027 without a remainder.

1, 2, 3, 6, 9007, 18014, 27021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54027 and 54042. The biggest common factor number is the GCF number.
So the greatest common factor 54027 and 54042 is 3.

Also check out the Least Common Multiple of 54027 and 54042