What is the Greatest Common Factor of 54351 and 54371?

Greatest common factor (GCF) of 54351 and 54371 is 1.

GCF(54351,54371) = 1

We will now calculate the prime factors of 54351 and 54371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54351 and 54371.

How to find the GCF of 54351 and 54371?

We will first find the prime factorization of 54351 and 54371. After we will calculate the factors of 54351 and 54371 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54371

Prime factors of 54371 are 54371. Prime factorization of 54371 in exponential form is:

54371 = 54371¹

Step-3: Factors of 54351

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

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

Step-4: Factors of 54371

List of positive integer factors of 54371 that divides 54351 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54351 and 54371. The biggest common factor number is the GCF number.
So the greatest common factor 54351 and 54371 is 1.

Also check out the Least Common Multiple of 54351 and 54371