What is the Greatest Common Factor of 54378 and 54384?

Greatest common factor (GCF) of 54378 and 54384 is 6.

GCF(54378,54384) = 6

We will now calculate the prime factors of 54378 and 54384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54378 and 54384.

How to find the GCF of 54378 and 54384?

We will first find the prime factorization of 54378 and 54384. After we will calculate the factors of 54378 and 54384 and find the biggest common factor number .

Step-1: Prime Factorization of 54378

Prime factors of 54378 are 2, 3, 19, 53. Prime factorization of 54378 in exponential form is:

54378 = 2¹ × 3³ × 19¹ × 53¹

Step-2: 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-3: Factors of 54378

List of positive integer factors of 54378 that divides 54378 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 53, 54, 57, 106, 114, 159, 171, 318, 342, 477, 513, 954, 1007, 1026, 1431, 2014, 2862, 3021, 6042, 9063, 18126, 27189

Step-4: Factors of 54384

List of positive integer factors of 54384 that divides 54378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54378 and 54384. The biggest common factor number is the GCF number.
So the greatest common factor 54378 and 54384 is 6.

Also check out the Least Common Multiple of 54378 and 54384