What is the Greatest Common Factor of 54672 and 54678?

Greatest common factor (GCF) of 54672 and 54678 is 6.

GCF(54672,54678) = 6

We will now calculate the prime factors of 54672 and 54678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54672 and 54678.

How to find the GCF of 54672 and 54678?

We will first find the prime factorization of 54672 and 54678. After we will calculate the factors of 54672 and 54678 and find the biggest common factor number .

Step-1: Prime Factorization of 54672

Prime factors of 54672 are 2, 3, 17, 67. Prime factorization of 54672 in exponential form is:

54672 = 2⁴ × 3¹ × 17¹ × 67¹

Step-2: Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 2¹ × 3¹ × 13¹ × 701¹

Step-3: Factors of 54672

List of positive integer factors of 54672 that divides 54672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102, 134, 136, 201, 204, 268, 272, 402, 408, 536, 804, 816, 1072, 1139, 1608, 2278, 3216, 3417, 4556, 6834, 9112, 13668, 18224, 27336

Step-4: Factors of 54678

List of positive integer factors of 54678 that divides 54672 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 701, 1402, 2103, 4206, 9113, 18226, 27339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54672 and 54678. The biggest common factor number is the GCF number.
So the greatest common factor 54672 and 54678 is 6.

Also check out the Least Common Multiple of 54672 and 54678