What is the Greatest Common Factor of 27012 and 27027?

Greatest common factor (GCF) of 27012 and 27027 is 3.

GCF(27012,27027) = 3

We will now calculate the prime factors of 27012 and 27027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27012 and 27027.

How to find the GCF of 27012 and 27027?

We will first find the prime factorization of 27012 and 27027. After we will calculate the factors of 27012 and 27027 and find the biggest common factor number .

Step-1: Prime Factorization of 27012

Prime factors of 27012 are 2, 3, 2251. Prime factorization of 27012 in exponential form is:

27012 = 2² × 3¹ × 2251¹

Step-2: Prime Factorization of 27027

Prime factors of 27027 are 3, 7, 11, 13. Prime factorization of 27027 in exponential form is:

27027 = 3³ × 7¹ × 11¹ × 13¹

Step-3: Factors of 27012

List of positive integer factors of 27012 that divides 27012 without a remainder.

1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506

Step-4: Factors of 27027

List of positive integer factors of 27027 that divides 27012 without a remainder.

1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 693, 819, 1001, 1287, 2079, 2457, 3003, 3861, 9009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27012 and 27027. The biggest common factor number is the GCF number.
So the greatest common factor 27012 and 27027 is 3.

Also check out the Least Common Multiple of 27012 and 27027