What is the Greatest Common Factor of 27378 and 27391?

Greatest common factor (GCF) of 27378 and 27391 is 13.

GCF(27378,27391) = 13

We will now calculate the prime factors of 27378 and 27391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27378 and 27391.

How to find the GCF of 27378 and 27391?

We will first find the prime factorization of 27378 and 27391. After we will calculate the factors of 27378 and 27391 and find the biggest common factor number .

Step-1: Prime Factorization of 27378

Prime factors of 27378 are 2, 3, 13. Prime factorization of 27378 in exponential form is:

27378 = 2¹ × 3⁴ × 13²

Step-2: Prime Factorization of 27391

Prime factors of 27391 are 7, 13, 43. Prime factorization of 27391 in exponential form is:

27391 = 7² × 13¹ × 43¹

Step-3: Factors of 27378

List of positive integer factors of 27378 that divides 27378 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 169, 234, 338, 351, 507, 702, 1014, 1053, 1521, 2106, 3042, 4563, 9126, 13689

Step-4: Factors of 27391

List of positive integer factors of 27391 that divides 27378 without a remainder.

1, 7, 13, 43, 49, 91, 301, 559, 637, 2107, 3913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27378 and 27391. The biggest common factor number is the GCF number.
So the greatest common factor 27378 and 27391 is 13.

Also check out the Least Common Multiple of 27378 and 27391