What is the Greatest Common Factor of 54336 and 54348?

Greatest common factor (GCF) of 54336 and 54348 is 12.

GCF(54336,54348) = 12

We will now calculate the prime factors of 54336 and 54348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54336 and 54348.

How to find the GCF of 54336 and 54348?

We will first find the prime factorization of 54336 and 54348. After we will calculate the factors of 54336 and 54348 and find the biggest common factor number .

Step-1: Prime Factorization of 54336

Prime factors of 54336 are 2, 3, 283. Prime factorization of 54336 in exponential form is:

54336 = 2⁶ × 3¹ × 283¹

Step-2: Prime Factorization of 54348

Prime factors of 54348 are 2, 3, 7, 647. Prime factorization of 54348 in exponential form is:

54348 = 2² × 3¹ × 7¹ × 647¹

Step-3: Factors of 54336

List of positive integer factors of 54336 that divides 54336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 283, 566, 849, 1132, 1698, 2264, 3396, 4528, 6792, 9056, 13584, 18112, 27168

Step-4: Factors of 54348

List of positive integer factors of 54348 that divides 54336 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 647, 1294, 1941, 2588, 3882, 4529, 7764, 9058, 13587, 18116, 27174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54336 and 54348. The biggest common factor number is the GCF number.
So the greatest common factor 54336 and 54348 is 12.

Also check out the Least Common Multiple of 54336 and 54348