What is the Greatest Common Factor of 27389 and 27400?

Greatest common factor (GCF) of 27389 and 27400 is 1.

GCF(27389,27400) = 1

We will now calculate the prime factors of 27389 and 27400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27389 and 27400.

How to find the GCF of 27389 and 27400?

We will first find the prime factorization of 27389 and 27400. After we will calculate the factors of 27389 and 27400 and find the biggest common factor number .

Step-1: Prime Factorization of 27389

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

27389 = 61¹ × 449¹

Step-2: Prime Factorization of 27400

Prime factors of 27400 are 2, 5, 137. Prime factorization of 27400 in exponential form is:

27400 = 2³ × 5² × 137¹

Step-3: Factors of 27389

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

1, 61, 449

Step-4: Factors of 27400

List of positive integer factors of 27400 that divides 27389 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 137, 200, 274, 548, 685, 1096, 1370, 2740, 3425, 5480, 6850, 13700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27389 and 27400. The biggest common factor number is the GCF number.
So the greatest common factor 27389 and 27400 is 1.

Also check out the Least Common Multiple of 27389 and 27400