What is the Greatest Common Factor of 12042 and 12060?

Greatest common factor (GCF) of 12042 and 12060 is 18.

GCF(12042,12060) = 18

We will now calculate the prime factors of 12042 and 12060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12042 and 12060.

How to find the GCF of 12042 and 12060?

We will first find the prime factorization of 12042 and 12060. After we will calculate the factors of 12042 and 12060 and find the biggest common factor number .

Step-1: Prime Factorization of 12042

Prime factors of 12042 are 2, 3, 223. Prime factorization of 12042 in exponential form is:

12042 = 2¹ × 3³ × 223¹

Step-2: 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-3: Factors of 12042

List of positive integer factors of 12042 that divides 12042 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 223, 446, 669, 1338, 2007, 4014, 6021

Step-4: Factors of 12060

List of positive integer factors of 12060 that divides 12042 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12042 and 12060. The biggest common factor number is the GCF number.
So the greatest common factor 12042 and 12060 is 18.

Also check out the Least Common Multiple of 12042 and 12060