What is the Greatest Common Factor of 12036 and 12054?

Greatest common factor (GCF) of 12036 and 12054 is 6.

GCF(12036,12054) = 6

We will now calculate the prime factors of 12036 and 12054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12036 and 12054.

How to find the GCF of 12036 and 12054?

We will first find the prime factorization of 12036 and 12054. After we will calculate the factors of 12036 and 12054 and find the biggest common factor number .

Step-1: Prime Factorization of 12036

Prime factors of 12036 are 2, 3, 17, 59. Prime factorization of 12036 in exponential form is:

12036 = 2² × 3¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 12036

List of positive integer factors of 12036 that divides 12036 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 59, 68, 102, 118, 177, 204, 236, 354, 708, 1003, 2006, 3009, 4012, 6018

Step-4: Factors of 12054

List of positive integer factors of 12054 that divides 12036 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12036 and 12054. The biggest common factor number is the GCF number.
So the greatest common factor 12036 and 12054 is 6.

Also check out the Least Common Multiple of 12036 and 12054