What is the Greatest Common Factor of 54339 and 54351?

Greatest common factor (GCF) of 54339 and 54351 is 3.

GCF(54339,54351) = 3

We will now calculate the prime factors of 54339 and 54351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54339 and 54351.

How to find the GCF of 54339 and 54351?

We will first find the prime factorization of 54339 and 54351. After we will calculate the factors of 54339 and 54351 and find the biggest common factor number .

Step-1: Prime Factorization of 54339

Prime factors of 54339 are 3, 59, 307. Prime factorization of 54339 in exponential form is:

54339 = 3¹ × 59¹ × 307¹

Step-2: Prime Factorization of 54351

Prime factors of 54351 are 3, 11, 61. Prime factorization of 54351 in exponential form is:

54351 = 3⁴ × 11¹ × 61¹

Step-3: Factors of 54339

List of positive integer factors of 54339 that divides 54339 without a remainder.

1, 3, 59, 177, 307, 921, 18113

Step-4: Factors of 54351

List of positive integer factors of 54351 that divides 54339 without a remainder.

1, 3, 9, 11, 27, 33, 61, 81, 99, 183, 297, 549, 671, 891, 1647, 2013, 4941, 6039, 18117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54339 and 54351. The biggest common factor number is the GCF number.
So the greatest common factor 54339 and 54351 is 3.

Also check out the Least Common Multiple of 54339 and 54351