What is the Greatest Common Factor of 54399 and 54405?

Greatest common factor (GCF) of 54399 and 54405 is 3.

GCF(54399,54405) = 3

We will now calculate the prime factors of 54399 and 54405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54399 and 54405.

How to find the GCF of 54399 and 54405?

We will first find the prime factorization of 54399 and 54405. After we will calculate the factors of 54399 and 54405 and find the biggest common factor number .

Step-1: Prime Factorization of 54399

Prime factors of 54399 are 3, 18133. Prime factorization of 54399 in exponential form is:

54399 = 3¹ × 18133¹

Step-2: Prime Factorization of 54405

Prime factors of 54405 are 3, 5, 13, 31. Prime factorization of 54405 in exponential form is:

54405 = 3³ × 5¹ × 13¹ × 31¹

Step-3: Factors of 54399

List of positive integer factors of 54399 that divides 54399 without a remainder.

1, 3, 18133

Step-4: Factors of 54405

List of positive integer factors of 54405 that divides 54399 without a remainder.

1, 3, 5, 9, 13, 15, 27, 31, 39, 45, 65, 93, 117, 135, 155, 195, 279, 351, 403, 465, 585, 837, 1209, 1395, 1755, 2015, 3627, 4185, 6045, 10881, 18135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54399 and 54405. The biggest common factor number is the GCF number.
So the greatest common factor 54399 and 54405 is 3.

Also check out the Least Common Multiple of 54399 and 54405