What is the Greatest Common Factor of 54375 and 54389?

Greatest common factor (GCF) of 54375 and 54389 is 1.

GCF(54375,54389) = 1

We will now calculate the prime factors of 54375 and 54389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54375 and 54389.

How to find the GCF of 54375 and 54389?

We will first find the prime factorization of 54375 and 54389. After we will calculate the factors of 54375 and 54389 and find the biggest common factor number .

Step-1: Prime Factorization of 54375

Prime factors of 54375 are 3, 5, 29. Prime factorization of 54375 in exponential form is:

54375 = 3¹ × 5⁴ × 29¹

Step-2: Prime Factorization of 54389

Prime factors of 54389 are 137, 397. Prime factorization of 54389 in exponential form is:

54389 = 137¹ × 397¹

Step-3: Factors of 54375

List of positive integer factors of 54375 that divides 54375 without a remainder.

1, 3, 5, 15, 25, 29, 75, 87, 125, 145, 375, 435, 625, 725, 1875, 2175, 3625, 10875, 18125

Step-4: Factors of 54389

List of positive integer factors of 54389 that divides 54375 without a remainder.

1, 137, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54375 and 54389. The biggest common factor number is the GCF number.
So the greatest common factor 54375 and 54389 is 1.

Also check out the Least Common Multiple of 54375 and 54389