What is the Greatest Common Factor of 12060 and 12066?

Greatest common factor (GCF) of 12060 and 12066 is 6.

GCF(12060,12066) = 6

We will now calculate the prime factors of 12060 and 12066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12060 and 12066.

How to find the GCF of 12060 and 12066?

We will first find the prime factorization of 12060 and 12066. After we will calculate the factors of 12060 and 12066 and find the biggest common factor number .

Step-1: Prime Factorization of 12060

Prime factors of 12060 are 2, 3, 5, 67. Prime factorization of 12060 in exponential form is:

12060 = 2² × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 12066

Prime factors of 12066 are 2, 3, 2011. Prime factorization of 12066 in exponential form is:

12066 = 2¹ × 3¹ × 2011¹

Step-3: Factors of 12060

List of positive integer factors of 12060 that divides 12060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 67, 90, 134, 180, 201, 268, 335, 402, 603, 670, 804, 1005, 1206, 1340, 2010, 2412, 3015, 4020, 6030

Step-4: Factors of 12066

List of positive integer factors of 12066 that divides 12060 without a remainder.

1, 2, 3, 6, 2011, 4022, 6033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12060 and 12066. The biggest common factor number is the GCF number.
So the greatest common factor 12060 and 12066 is 6.

Also check out the Least Common Multiple of 12060 and 12066