What is the Greatest Common Factor of 27357 and 27372?

Greatest common factor (GCF) of 27357 and 27372 is 3.

GCF(27357,27372) = 3

We will now calculate the prime factors of 27357 and 27372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27357 and 27372.

How to find the GCF of 27357 and 27372?

We will first find the prime factorization of 27357 and 27372. After we will calculate the factors of 27357 and 27372 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 27372

Prime factors of 27372 are 2, 3, 2281. Prime factorization of 27372 in exponential form is:

27372 = 2² × 3¹ × 2281¹

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 27372

List of positive integer factors of 27372 that divides 27357 without a remainder.

1, 2, 3, 4, 6, 12, 2281, 4562, 6843, 9124, 13686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27357 and 27372. The biggest common factor number is the GCF number.
So the greatest common factor 27357 and 27372 is 3.

Also check out the Least Common Multiple of 27357 and 27372