What is the Greatest Common Factor of 27549 and 27564?

Greatest common factor (GCF) of 27549 and 27564 is 3.

GCF(27549,27564) = 3

We will now calculate the prime factors of 27549 and 27564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27549 and 27564.

How to find the GCF of 27549 and 27564?

We will first find the prime factorization of 27549 and 27564. After we will calculate the factors of 27549 and 27564 and find the biggest common factor number .

Step-1: Prime Factorization of 27549

Prime factors of 27549 are 3, 3061. Prime factorization of 27549 in exponential form is:

27549 = 3² × 3061¹

Step-2: 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-3: Factors of 27549

List of positive integer factors of 27549 that divides 27549 without a remainder.

1, 3, 9, 3061, 9183

Step-4: Factors of 27564

List of positive integer factors of 27564 that divides 27549 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27549 and 27564. The biggest common factor number is the GCF number.
So the greatest common factor 27549 and 27564 is 3.

Also check out the Least Common Multiple of 27549 and 27564