What is the Greatest Common Factor of 54672 and 54688?

Greatest common factor (GCF) of 54672 and 54688 is 16.

GCF(54672,54688) = 16

We will now calculate the prime factors of 54672 and 54688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54672 and 54688.

How to find the GCF of 54672 and 54688?

We will first find the prime factorization of 54672 and 54688. After we will calculate the factors of 54672 and 54688 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 54688

Prime factors of 54688 are 2, 1709. Prime factorization of 54688 in exponential form is:

54688 = 2⁵ × 1709¹

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 54688

List of positive integer factors of 54688 that divides 54672 without a remainder.

1, 2, 4, 8, 16, 32, 1709, 3418, 6836, 13672, 27344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54672 and 54688. The biggest common factor number is the GCF number.
So the greatest common factor 54672 and 54688 is 16.

Also check out the Least Common Multiple of 54672 and 54688