What is the Greatest Common Factor of 54357 and 54375?

Greatest common factor (GCF) of 54357 and 54375 is 3.

GCF(54357,54375) = 3

We will now calculate the prime factors of 54357 and 54375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54357 and 54375.

How to find the GCF of 54357 and 54375?

We will first find the prime factorization of 54357 and 54375. After we will calculate the factors of 54357 and 54375 and find the biggest common factor number .

Step-1: Prime Factorization of 54357

Prime factors of 54357 are 3, 18119. Prime factorization of 54357 in exponential form is:

54357 = 3¹ × 18119¹

Step-2: 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-3: Factors of 54357

List of positive integer factors of 54357 that divides 54357 without a remainder.

1, 3, 18119

Step-4: Factors of 54375

List of positive integer factors of 54375 that divides 54357 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54357 and 54375. The biggest common factor number is the GCF number.
So the greatest common factor 54357 and 54375 is 3.

Also check out the Least Common Multiple of 54357 and 54375