What is the Greatest Common Factor of 27306 and 27311?

Greatest common factor (GCF) of 27306 and 27311 is 1.

GCF(27306,27311) = 1

We will now calculate the prime factors of 27306 and 27311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27306 and 27311.

How to find the GCF of 27306 and 27311?

We will first find the prime factorization of 27306 and 27311. After we will calculate the factors of 27306 and 27311 and find the biggest common factor number .

Step-1: Prime Factorization of 27306

Prime factors of 27306 are 2, 3, 37, 41. Prime factorization of 27306 in exponential form is:

27306 = 2¹ × 3² × 37¹ × 41¹

Step-2: Prime Factorization of 27311

Prime factors of 27311 are 31, 881. Prime factorization of 27311 in exponential form is:

27311 = 31¹ × 881¹

Step-3: Factors of 27306

List of positive integer factors of 27306 that divides 27306 without a remainder.

1, 2, 3, 6, 9, 18, 37, 41, 74, 82, 111, 123, 222, 246, 333, 369, 666, 738, 1517, 3034, 4551, 9102, 13653

Step-4: Factors of 27311

List of positive integer factors of 27311 that divides 27306 without a remainder.

1, 31, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27306 and 27311. The biggest common factor number is the GCF number.
So the greatest common factor 27306 and 27311 is 1.

Also check out the Least Common Multiple of 27306 and 27311