What is the Greatest Common Factor of 12054 and 12067?

Greatest common factor (GCF) of 12054 and 12067 is 1.

GCF(12054,12067) = 1

We will now calculate the prime factors of 12054 and 12067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12054 and 12067.

How to find the GCF of 12054 and 12067?

We will first find the prime factorization of 12054 and 12067. After we will calculate the factors of 12054 and 12067 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 12067

Prime factors of 12067 are 11, 1097. Prime factorization of 12067 in exponential form is:

12067 = 11¹ × 1097¹

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 12067

List of positive integer factors of 12067 that divides 12054 without a remainder.

1, 11, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12054 and 12067. The biggest common factor number is the GCF number.
So the greatest common factor 12054 and 12067 is 1.

Also check out the Least Common Multiple of 12054 and 12067