What is the Greatest Common Factor of 27084 and 27089?

Greatest common factor (GCF) of 27084 and 27089 is 1.

GCF(27084,27089) = 1

We will now calculate the prime factors of 27084 and 27089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27084 and 27089.

How to find the GCF of 27084 and 27089?

We will first find the prime factorization of 27084 and 27089. After we will calculate the factors of 27084 and 27089 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 27089

Prime factors of 27089 are 103, 263. Prime factorization of 27089 in exponential form is:

27089 = 103¹ × 263¹

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 27089

List of positive integer factors of 27089 that divides 27084 without a remainder.

1, 103, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27084 and 27089. The biggest common factor number is the GCF number.
So the greatest common factor 27084 and 27089 is 1.

Also check out the Least Common Multiple of 27084 and 27089