What is the Greatest Common Factor of 12027 and 12033?

Greatest common factor (GCF) of 12027 and 12033 is 3.

GCF(12027,12033) = 3

We will now calculate the prime factors of 12027 and 12033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12027 and 12033.

How to find the GCF of 12027 and 12033?

We will first find the prime factorization of 12027 and 12033. After we will calculate the factors of 12027 and 12033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12033

Prime factors of 12033 are 3, 7, 191. Prime factorization of 12033 in exponential form is:

12033 = 3² × 7¹ × 191¹

Step-3: Factors of 12027

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

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

Step-4: Factors of 12033

List of positive integer factors of 12033 that divides 12027 without a remainder.

1, 3, 7, 9, 21, 63, 191, 573, 1337, 1719, 4011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12027 and 12033. The biggest common factor number is the GCF number.
So the greatest common factor 12027 and 12033 is 3.

Also check out the Least Common Multiple of 12027 and 12033