What is the Greatest Common Factor of 27378 and 27386?

Greatest common factor (GCF) of 27378 and 27386 is 2.

GCF(27378,27386) = 2

We will now calculate the prime factors of 27378 and 27386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27378 and 27386.

How to find the GCF of 27378 and 27386?

We will first find the prime factorization of 27378 and 27386. After we will calculate the factors of 27378 and 27386 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 27386

Prime factors of 27386 are 2, 13693. Prime factorization of 27386 in exponential form is:

27386 = 2¹ × 13693¹

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 27386

List of positive integer factors of 27386 that divides 27378 without a remainder.

1, 2, 13693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27378 and 27386. The biggest common factor number is the GCF number.
So the greatest common factor 27378 and 27386 is 2.

Also check out the Least Common Multiple of 27378 and 27386