What is the Greatest Common Factor of 12096 and 12102?

Greatest common factor (GCF) of 12096 and 12102 is 6.

GCF(12096,12102) = 6

We will now calculate the prime factors of 12096 and 12102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12096 and 12102.

How to find the GCF of 12096 and 12102?

We will first find the prime factorization of 12096 and 12102. After we will calculate the factors of 12096 and 12102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12102

Prime factors of 12102 are 2, 3, 2017. Prime factorization of 12102 in exponential form is:

12102 = 2¹ × 3¹ × 2017¹

Step-3: Factors of 12096

List of positive integer factors of 12096 that divides 12096 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

Step-4: Factors of 12102

List of positive integer factors of 12102 that divides 12096 without a remainder.

1, 2, 3, 6, 2017, 4034, 6051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12096 and 12102. The biggest common factor number is the GCF number.
So the greatest common factor 12096 and 12102 is 6.

Also check out the Least Common Multiple of 12096 and 12102