What is the Greatest Common Factor of 12012 and 12027?

Greatest common factor (GCF) of 12012 and 12027 is 3.

GCF(12012,12027) = 3

We will now calculate the prime factors of 12012 and 12027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12012 and 12027.

How to find the GCF of 12012 and 12027?

We will first find the prime factorization of 12012 and 12027. After we will calculate the factors of 12012 and 12027 and find the biggest common factor number .

Step-1: Prime Factorization of 12012

Prime factors of 12012 are 2, 3, 7, 11, 13. Prime factorization of 12012 in exponential form is:

12012 = 2² × 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 12027

Prime factors of 12027 are 3, 19, 211. Prime factorization of 12027 in exponential form is:

12027 = 3¹ × 19¹ × 211¹

Step-3: Factors of 12012

List of positive integer factors of 12012 that divides 12012 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 13, 14, 21, 22, 26, 28, 33, 39, 42, 44, 52, 66, 77, 78, 84, 91, 132, 143, 154, 156, 182, 231, 273, 286, 308, 364, 429, 462, 546, 572, 858, 924, 1001, 1092, 1716, 2002, 3003, 4004, 6006

Step-4: Factors of 12027

List of positive integer factors of 12027 that divides 12012 without a remainder.

1, 3, 19, 57, 211, 633, 4009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12012 and 12027. The biggest common factor number is the GCF number.
So the greatest common factor 12012 and 12027 is 3.

Also check out the Least Common Multiple of 12012 and 12027