What is the Greatest Common Factor of 27564 and 27571?

Greatest common factor (GCF) of 27564 and 27571 is 1.

GCF(27564,27571) = 1

We will now calculate the prime factors of 27564 and 27571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27564 and 27571.

How to find the GCF of 27564 and 27571?

We will first find the prime factorization of 27564 and 27571. After we will calculate the factors of 27564 and 27571 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 27571

Prime factors of 27571 are 79, 349. Prime factorization of 27571 in exponential form is:

27571 = 79¹ × 349¹

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 27571

List of positive integer factors of 27571 that divides 27564 without a remainder.

1, 79, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27564 and 27571. The biggest common factor number is the GCF number.
So the greatest common factor 27564 and 27571 is 1.

Also check out the Least Common Multiple of 27564 and 27571