What is the Greatest Common Factor of 27084 and 27102?

Greatest common factor (GCF) of 27084 and 27102 is 6.

GCF(27084,27102) = 6

We will now calculate the prime factors of 27084 and 27102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27084 and 27102.

How to find the GCF of 27084 and 27102?

We will first find the prime factorization of 27084 and 27102. After we will calculate the factors of 27084 and 27102 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 27102

Prime factors of 27102 are 2, 3, 4517. Prime factorization of 27102 in exponential form is:

27102 = 2¹ × 3¹ × 4517¹

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 27102

List of positive integer factors of 27102 that divides 27084 without a remainder.

1, 2, 3, 6, 4517, 9034, 13551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27084 and 27102. The biggest common factor number is the GCF number.
So the greatest common factor 27084 and 27102 is 6.

Also check out the Least Common Multiple of 27084 and 27102