What is the Greatest Common Factor of 54384 and 54403?

Greatest common factor (GCF) of 54384 and 54403 is 1.

GCF(54384,54403) = 1

We will now calculate the prime factors of 54384 and 54403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54384 and 54403.

How to find the GCF of 54384 and 54403?

We will first find the prime factorization of 54384 and 54403. After we will calculate the factors of 54384 and 54403 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 54403

Prime factors of 54403 are 54403. Prime factorization of 54403 in exponential form is:

54403 = 54403¹

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 54403

List of positive integer factors of 54403 that divides 54384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54384 and 54403. The biggest common factor number is the GCF number.
So the greatest common factor 54384 and 54403 is 1.

Also check out the Least Common Multiple of 54384 and 54403