What is the Greatest Common Factor of 12060 and 12078?

Greatest common factor (GCF) of 12060 and 12078 is 18.

GCF(12060,12078) = 18

We will now calculate the prime factors of 12060 and 12078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12060 and 12078.

How to find the GCF of 12060 and 12078?

We will first find the prime factorization of 12060 and 12078. After we will calculate the factors of 12060 and 12078 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 12078

Prime factors of 12078 are 2, 3, 11, 61. Prime factorization of 12078 in exponential form is:

12078 = 2¹ × 3² × 11¹ × 61¹

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 12078

List of positive integer factors of 12078 that divides 12060 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 61, 66, 99, 122, 183, 198, 366, 549, 671, 1098, 1342, 2013, 4026, 6039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12060 and 12078. The biggest common factor number is the GCF number.
So the greatest common factor 12060 and 12078 is 18.

Also check out the Least Common Multiple of 12060 and 12078