What is the Greatest Common Factor of 27084 and 27101?

Greatest common factor (GCF) of 27084 and 27101 is 1.

GCF(27084,27101) = 1

We will now calculate the prime factors of 27084 and 27101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27084 and 27101.

How to find the GCF of 27084 and 27101?

We will first find the prime factorization of 27084 and 27101. After we will calculate the factors of 27084 and 27101 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 27101

Prime factors of 27101 are 41, 661. Prime factorization of 27101 in exponential form is:

27101 = 41¹ × 661¹

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 27101

List of positive integer factors of 27101 that divides 27084 without a remainder.

1, 41, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27084 and 27101. The biggest common factor number is the GCF number.
So the greatest common factor 27084 and 27101 is 1.

Also check out the Least Common Multiple of 27084 and 27101