What is the Greatest Common Factor of 27358 and 27378?

Greatest common factor (GCF) of 27358 and 27378 is 2.

GCF(27358,27378) = 2

We will now calculate the prime factors of 27358 and 27378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27358 and 27378.

How to find the GCF of 27358 and 27378?

We will first find the prime factorization of 27358 and 27378. After we will calculate the factors of 27358 and 27378 and find the biggest common factor number .

Step-1: Prime Factorization of 27358

Prime factors of 27358 are 2, 13679. Prime factorization of 27358 in exponential form is:

27358 = 2¹ × 13679¹

Step-2: 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-3: Factors of 27358

List of positive integer factors of 27358 that divides 27358 without a remainder.

1, 2, 13679

Step-4: Factors of 27378

List of positive integer factors of 27378 that divides 27358 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27358 and 27378. The biggest common factor number is the GCF number.
So the greatest common factor 27358 and 27378 is 2.

Also check out the Least Common Multiple of 27358 and 27378