What is the Greatest Common Factor of 54384 and 54395?

Greatest common factor (GCF) of 54384 and 54395 is 11.

GCF(54384,54395) = 11

We will now calculate the prime factors of 54384 and 54395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54384 and 54395.

How to find the GCF of 54384 and 54395?

We will first find the prime factorization of 54384 and 54395. After we will calculate the factors of 54384 and 54395 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 54395

Prime factors of 54395 are 5, 11, 23, 43. Prime factorization of 54395 in exponential form is:

54395 = 5¹ × 11¹ × 23¹ × 43¹

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 54395

List of positive integer factors of 54395 that divides 54384 without a remainder.

1, 5, 11, 23, 43, 55, 115, 215, 253, 473, 989, 1265, 2365, 4945, 10879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54384 and 54395. The biggest common factor number is the GCF number.
So the greatest common factor 54384 and 54395 is 11.

Also check out the Least Common Multiple of 54384 and 54395