What is the Greatest Common Factor of 54384 and 54399?

Greatest common factor (GCF) of 54384 and 54399 is 3.

GCF(54384,54399) = 3

We will now calculate the prime factors of 54384 and 54399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54384 and 54399.

How to find the GCF of 54384 and 54399?

We will first find the prime factorization of 54384 and 54399. After we will calculate the factors of 54384 and 54399 and find the biggest common factor number .

Step-1: Prime Factorization of 54384

Prime factors of 54384 are 2, 3, 11, 103. Prime factorization of 54384 in exponential form is:

54384 = 2⁴ × 3¹ × 11¹ × 103¹

Step-2: Prime Factorization of 54399

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

54399 = 3¹ × 18133¹

Step-3: Factors of 54384

List of positive integer factors of 54384 that divides 54384 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 103, 132, 176, 206, 264, 309, 412, 528, 618, 824, 1133, 1236, 1648, 2266, 2472, 3399, 4532, 4944, 6798, 9064, 13596, 18128, 27192

Step-4: Factors of 54399

List of positive integer factors of 54399 that divides 54384 without a remainder.

1, 3, 18133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54384 and 54399. The biggest common factor number is the GCF number.
So the greatest common factor 54384 and 54399 is 3.

Also check out the Least Common Multiple of 54384 and 54399