What is the Greatest Common Factor of 12096 and 12109?

Greatest common factor (GCF) of 12096 and 12109 is 1.

GCF(12096,12109) = 1

We will now calculate the prime factors of 12096 and 12109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12096 and 12109.

How to find the GCF of 12096 and 12109?

We will first find the prime factorization of 12096 and 12109. After we will calculate the factors of 12096 and 12109 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 12109

Prime factors of 12109 are 12109. Prime factorization of 12109 in exponential form is:

12109 = 12109¹

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 12109

List of positive integer factors of 12109 that divides 12096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12096 and 12109. The biggest common factor number is the GCF number.
So the greatest common factor 12096 and 12109 is 1.

Also check out the Least Common Multiple of 12096 and 12109