What is the Greatest Common Factor of 27357 and 27375?

Greatest common factor (GCF) of 27357 and 27375 is 3.

GCF(27357,27375) = 3

We will now calculate the prime factors of 27357 and 27375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27357 and 27375.

How to find the GCF of 27357 and 27375?

We will first find the prime factorization of 27357 and 27375. After we will calculate the factors of 27357 and 27375 and find the biggest common factor number .

Step-1: Prime Factorization of 27357

Prime factors of 27357 are 3, 11, 829. Prime factorization of 27357 in exponential form is:

27357 = 3¹ × 11¹ × 829¹

Step-2: Prime Factorization of 27375

Prime factors of 27375 are 3, 5, 73. Prime factorization of 27375 in exponential form is:

27375 = 3¹ × 5³ × 73¹

Step-3: Factors of 27357

List of positive integer factors of 27357 that divides 27357 without a remainder.

1, 3, 11, 33, 829, 2487, 9119

Step-4: Factors of 27375

List of positive integer factors of 27375 that divides 27357 without a remainder.

1, 3, 5, 15, 25, 73, 75, 125, 219, 365, 375, 1095, 1825, 5475, 9125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27357 and 27375. The biggest common factor number is the GCF number.
So the greatest common factor 27357 and 27375 is 3.

Also check out the Least Common Multiple of 27357 and 27375