What is the Greatest Common Factor of 12054 and 12069?

Greatest common factor (GCF) of 12054 and 12069 is 3.

GCF(12054,12069) = 3

We will now calculate the prime factors of 12054 and 12069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12054 and 12069.

How to find the GCF of 12054 and 12069?

We will first find the prime factorization of 12054 and 12069. After we will calculate the factors of 12054 and 12069 and find the biggest common factor number .

Step-1: Prime Factorization of 12054

Prime factors of 12054 are 2, 3, 7, 41. Prime factorization of 12054 in exponential form is:

12054 = 2¹ × 3¹ × 7² × 41¹

Step-2: Prime Factorization of 12069

Prime factors of 12069 are 3, 149. Prime factorization of 12069 in exponential form is:

12069 = 3⁴ × 149¹

Step-3: Factors of 12054

List of positive integer factors of 12054 that divides 12054 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 49, 82, 98, 123, 147, 246, 287, 294, 574, 861, 1722, 2009, 4018, 6027

Step-4: Factors of 12069

List of positive integer factors of 12069 that divides 12054 without a remainder.

1, 3, 9, 27, 81, 149, 447, 1341, 4023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12054 and 12069. The biggest common factor number is the GCF number.
So the greatest common factor 12054 and 12069 is 3.

Also check out the Least Common Multiple of 12054 and 12069