What is the Greatest Common Factor of 54655 and 54672?

Greatest common factor (GCF) of 54655 and 54672 is 17.

GCF(54655,54672) = 17

We will now calculate the prime factors of 54655 and 54672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54655 and 54672.

How to find the GCF of 54655 and 54672?

We will first find the prime factorization of 54655 and 54672. After we will calculate the factors of 54655 and 54672 and find the biggest common factor number .

Step-1: Prime Factorization of 54655

Prime factors of 54655 are 5, 17, 643. Prime factorization of 54655 in exponential form is:

54655 = 5¹ × 17¹ × 643¹

Step-2: 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-3: Factors of 54655

List of positive integer factors of 54655 that divides 54655 without a remainder.

1, 5, 17, 85, 643, 3215, 10931

Step-4: Factors of 54672

List of positive integer factors of 54672 that divides 54655 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54655 and 54672. The biggest common factor number is the GCF number.
So the greatest common factor 54655 and 54672 is 17.

Also check out the Least Common Multiple of 54655 and 54672