What is the Greatest Common Factor of 27084 and 27096?

Greatest common factor (GCF) of 27084 and 27096 is 12.

GCF(27084,27096) = 12

We will now calculate the prime factors of 27084 and 27096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27084 and 27096.

How to find the GCF of 27084 and 27096?

We will first find the prime factorization of 27084 and 27096. After we will calculate the factors of 27084 and 27096 and find the biggest common factor number .

Step-1: Prime Factorization of 27084

Prime factors of 27084 are 2, 3, 37, 61. Prime factorization of 27084 in exponential form is:

27084 = 2² × 3¹ × 37¹ × 61¹

Step-2: Prime Factorization of 27096

Prime factors of 27096 are 2, 3, 1129. Prime factorization of 27096 in exponential form is:

27096 = 2³ × 3¹ × 1129¹

Step-3: Factors of 27084

List of positive integer factors of 27084 that divides 27084 without a remainder.

1, 2, 3, 4, 6, 12, 37, 61, 74, 111, 122, 148, 183, 222, 244, 366, 444, 732, 2257, 4514, 6771, 9028, 13542

Step-4: Factors of 27096

List of positive integer factors of 27096 that divides 27084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1129, 2258, 3387, 4516, 6774, 9032, 13548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27084 and 27096. The biggest common factor number is the GCF number.
So the greatest common factor 27084 and 27096 is 12.

Also check out the Least Common Multiple of 27084 and 27096