What is the Greatest Common Factor of 27564 and 27581?

Greatest common factor (GCF) of 27564 and 27581 is 1.

GCF(27564,27581) = 1

We will now calculate the prime factors of 27564 and 27581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27564 and 27581.

How to find the GCF of 27564 and 27581?

We will first find the prime factorization of 27564 and 27581. After we will calculate the factors of 27564 and 27581 and find the biggest common factor number .

Step-1: Prime Factorization of 27564

Prime factors of 27564 are 2, 3, 2297. Prime factorization of 27564 in exponential form is:

27564 = 2² × 3¹ × 2297¹

Step-2: Prime Factorization of 27581

Prime factors of 27581 are 27581. Prime factorization of 27581 in exponential form is:

27581 = 27581¹

Step-3: Factors of 27564

List of positive integer factors of 27564 that divides 27564 without a remainder.

1, 2, 3, 4, 6, 12, 2297, 4594, 6891, 9188, 13782

Step-4: Factors of 27581

List of positive integer factors of 27581 that divides 27564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27564 and 27581. The biggest common factor number is the GCF number.
So the greatest common factor 27564 and 27581 is 1.

Also check out the Least Common Multiple of 27564 and 27581