What is the Greatest Common Factor of 27348 and 27357?

Greatest common factor (GCF) of 27348 and 27357 is 3.

GCF(27348,27357) = 3

We will now calculate the prime factors of 27348 and 27357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27348 and 27357.

How to find the GCF of 27348 and 27357?

We will first find the prime factorization of 27348 and 27357. After we will calculate the factors of 27348 and 27357 and find the biggest common factor number .

Step-1: Prime Factorization of 27348

Prime factors of 27348 are 2, 3, 43, 53. Prime factorization of 27348 in exponential form is:

27348 = 2² × 3¹ × 43¹ × 53¹

Step-2: 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-3: Factors of 27348

List of positive integer factors of 27348 that divides 27348 without a remainder.

1, 2, 3, 4, 6, 12, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 516, 636, 2279, 4558, 6837, 9116, 13674

Step-4: Factors of 27357

List of positive integer factors of 27357 that divides 27348 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27348 and 27357. The biggest common factor number is the GCF number.
So the greatest common factor 27348 and 27357 is 3.

Also check out the Least Common Multiple of 27348 and 27357