What is the Greatest Common Factor of 12054 and 12061?

Greatest common factor (GCF) of 12054 and 12061 is 7.

GCF(12054,12061) = 7

We will now calculate the prime factors of 12054 and 12061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12054 and 12061.

How to find the GCF of 12054 and 12061?

We will first find the prime factorization of 12054 and 12061. After we will calculate the factors of 12054 and 12061 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 12061

Prime factors of 12061 are 7, 1723. Prime factorization of 12061 in exponential form is:

12061 = 7¹ × 1723¹

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 12061

List of positive integer factors of 12061 that divides 12054 without a remainder.

1, 7, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12054 and 12061. The biggest common factor number is the GCF number.
So the greatest common factor 12054 and 12061 is 7.

Also check out the Least Common Multiple of 12054 and 12061