What is the Greatest Common Factor of 27549 and 27555?

Greatest common factor (GCF) of 27549 and 27555 is 3.

GCF(27549,27555) = 3

We will now calculate the prime factors of 27549 and 27555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27549 and 27555.

How to find the GCF of 27549 and 27555?

We will first find the prime factorization of 27549 and 27555. After we will calculate the factors of 27549 and 27555 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 27555

Prime factors of 27555 are 3, 5, 11, 167. Prime factorization of 27555 in exponential form is:

27555 = 3¹ × 5¹ × 11¹ × 167¹

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 27555

List of positive integer factors of 27555 that divides 27549 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 167, 501, 835, 1837, 2505, 5511, 9185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27549 and 27555. The biggest common factor number is the GCF number.
So the greatest common factor 27549 and 27555 is 3.

Also check out the Least Common Multiple of 27549 and 27555