What is the Greatest Common Factor of 27378 and 27398?

Greatest common factor (GCF) of 27378 and 27398 is 2.

GCF(27378,27398) = 2

We will now calculate the prime factors of 27378 and 27398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27378 and 27398.

How to find the GCF of 27378 and 27398?

We will first find the prime factorization of 27378 and 27398. After we will calculate the factors of 27378 and 27398 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 27398

Prime factors of 27398 are 2, 7, 19, 103. Prime factorization of 27398 in exponential form is:

27398 = 2¹ × 7¹ × 19¹ × 103¹

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 27398

List of positive integer factors of 27398 that divides 27378 without a remainder.

1, 2, 7, 14, 19, 38, 103, 133, 206, 266, 721, 1442, 1957, 3914, 13699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27378 and 27398. The biggest common factor number is the GCF number.
So the greatest common factor 27378 and 27398 is 2.

Also check out the Least Common Multiple of 27378 and 27398