What is the Greatest Common Factor of 54672 and 54689?

Greatest common factor (GCF) of 54672 and 54689 is 17.

GCF(54672,54689) = 17

We will now calculate the prime factors of 54672 and 54689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54672 and 54689.

How to find the GCF of 54672 and 54689?

We will first find the prime factorization of 54672 and 54689. After we will calculate the factors of 54672 and 54689 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 54689

Prime factors of 54689 are 17, 3217. Prime factorization of 54689 in exponential form is:

54689 = 17¹ × 3217¹

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 54689

List of positive integer factors of 54689 that divides 54672 without a remainder.

1, 17, 3217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54672 and 54689. The biggest common factor number is the GCF number.
So the greatest common factor 54672 and 54689 is 17.

Also check out the Least Common Multiple of 54672 and 54689