What is the Greatest Common Factor of 12015 and 12027?

Greatest common factor (GCF) of 12015 and 12027 is 3.

GCF(12015,12027) = 3

We will now calculate the prime factors of 12015 and 12027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12015 and 12027.

How to find the GCF of 12015 and 12027?

We will first find the prime factorization of 12015 and 12027. After we will calculate the factors of 12015 and 12027 and find the biggest common factor number .

Step-1: Prime Factorization of 12015

Prime factors of 12015 are 3, 5, 89. Prime factorization of 12015 in exponential form is:

12015 = 3³ × 5¹ × 89¹

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 12015

List of positive integer factors of 12015 that divides 12015 without a remainder.

1, 3, 5, 9, 15, 27, 45, 89, 135, 267, 445, 801, 1335, 2403, 4005

Step-4: Factors of 12027

List of positive integer factors of 12027 that divides 12015 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12015 and 12027. The biggest common factor number is the GCF number.
So the greatest common factor 12015 and 12027 is 3.

Also check out the Least Common Multiple of 12015 and 12027