What is the Greatest Common Factor of 12078 and 12096?

Greatest common factor (GCF) of 12078 and 12096 is 18.

GCF(12078,12096) = 18

We will now calculate the prime factors of 12078 and 12096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12078 and 12096.

How to find the GCF of 12078 and 12096?

We will first find the prime factorization of 12078 and 12096. After we will calculate the factors of 12078 and 12096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12096

Prime factors of 12096 are 2, 3, 7. Prime factorization of 12096 in exponential form is:

12096 = 2⁶ × 3³ × 7¹

Step-3: Factors of 12078

List of positive integer factors of 12078 that divides 12078 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

Step-4: Factors of 12096

List of positive integer factors of 12096 that divides 12078 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 84, 96, 108, 112, 126, 144, 168, 189, 192, 216, 224, 252, 288, 336, 378, 432, 448, 504, 576, 672, 756, 864, 1008, 1344, 1512, 1728, 2016, 3024, 4032, 6048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12078 and 12096. The biggest common factor number is the GCF number.
So the greatest common factor 12078 and 12096 is 18.

Also check out the Least Common Multiple of 12078 and 12096