What is the Greatest Common Factor of 27378 and 27393?

Greatest common factor (GCF) of 27378 and 27393 is 3.

GCF(27378,27393) = 3

We will now calculate the prime factors of 27378 and 27393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27378 and 27393.

How to find the GCF of 27378 and 27393?

We will first find the prime factorization of 27378 and 27393. After we will calculate the factors of 27378 and 27393 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 27393

Prime factors of 27393 are 3, 23, 397. Prime factorization of 27393 in exponential form is:

27393 = 3¹ × 23¹ × 397¹

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 27393

List of positive integer factors of 27393 that divides 27378 without a remainder.

1, 3, 23, 69, 397, 1191, 9131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27378 and 27393. The biggest common factor number is the GCF number.
So the greatest common factor 27378 and 27393 is 3.

Also check out the Least Common Multiple of 27378 and 27393