What is the Greatest Common Factor of 12096 and 12101?

Greatest common factor (GCF) of 12096 and 12101 is 1.

GCF(12096,12101) = 1

We will now calculate the prime factors of 12096 and 12101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12096 and 12101.

How to find the GCF of 12096 and 12101?

We will first find the prime factorization of 12096 and 12101. After we will calculate the factors of 12096 and 12101 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 12101

Prime factors of 12101 are 12101. Prime factorization of 12101 in exponential form is:

12101 = 12101¹

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 12101

List of positive integer factors of 12101 that divides 12096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12096 and 12101. The biggest common factor number is the GCF number.
So the greatest common factor 12096 and 12101 is 1.

Also check out the Least Common Multiple of 12096 and 12101