What is the Greatest Common Factor of 27380 and 27389?

Greatest common factor (GCF) of 27380 and 27389 is 1.

GCF(27380,27389) = 1

We will now calculate the prime factors of 27380 and 27389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27389.

How to find the GCF of 27380 and 27389?

We will first find the prime factorization of 27380 and 27389. After we will calculate the factors of 27380 and 27389 and find the biggest common factor number .

Step-1: Prime Factorization of 27380

Prime factors of 27380 are 2, 5, 37. Prime factorization of 27380 in exponential form is:

27380 = 2² × 5¹ × 37²

Step-2: Prime Factorization of 27389

Prime factors of 27389 are 61, 449. Prime factorization of 27389 in exponential form is:

27389 = 61¹ × 449¹

Step-3: Factors of 27380

List of positive integer factors of 27380 that divides 27380 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845, 13690

Step-4: Factors of 27389

List of positive integer factors of 27389 that divides 27380 without a remainder.

1, 61, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27389. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27389 is 1.

Also check out the Least Common Multiple of 27380 and 27389