What is the Greatest Common Factor of 54591 and 54609?

Greatest common factor (GCF) of 54591 and 54609 is 3.

GCF(54591,54609) = 3

We will now calculate the prime factors of 54591 and 54609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54591 and 54609.

How to find the GCF of 54591 and 54609?

We will first find the prime factorization of 54591 and 54609. After we will calculate the factors of 54591 and 54609 and find the biggest common factor number .

Step-1: Prime Factorization of 54591

Prime factors of 54591 are 3, 31, 587. Prime factorization of 54591 in exponential form is:

54591 = 3¹ × 31¹ × 587¹

Step-2: Prime Factorization of 54609

Prime factors of 54609 are 3, 109, 167. Prime factorization of 54609 in exponential form is:

54609 = 3¹ × 109¹ × 167¹

Step-3: Factors of 54591

List of positive integer factors of 54591 that divides 54591 without a remainder.

1, 3, 31, 93, 587, 1761, 18197

Step-4: Factors of 54609

List of positive integer factors of 54609 that divides 54591 without a remainder.

1, 3, 109, 167, 327, 501, 18203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54591 and 54609. The biggest common factor number is the GCF number.
So the greatest common factor 54591 and 54609 is 3.

Also check out the Least Common Multiple of 54591 and 54609