What is the Greatest Common Factor of 54330 and 54336?

Greatest common factor (GCF) of 54330 and 54336 is 6.

GCF(54330,54336) = 6

We will now calculate the prime factors of 54330 and 54336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54330 and 54336.

How to find the GCF of 54330 and 54336?

We will first find the prime factorization of 54330 and 54336. After we will calculate the factors of 54330 and 54336 and find the biggest common factor number .

Step-1: Prime Factorization of 54330

Prime factors of 54330 are 2, 3, 5, 1811. Prime factorization of 54330 in exponential form is:

54330 = 2¹ × 3¹ × 5¹ × 1811¹

Step-2: 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-3: Factors of 54330

List of positive integer factors of 54330 that divides 54330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1811, 3622, 5433, 9055, 10866, 18110, 27165

Step-4: Factors of 54336

List of positive integer factors of 54336 that divides 54330 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54330 and 54336. The biggest common factor number is the GCF number.
So the greatest common factor 54330 and 54336 is 6.

Also check out the Least Common Multiple of 54330 and 54336