What is the Greatest Common Factor of 12096 and 12112?

Greatest common factor (GCF) of 12096 and 12112 is 16.

GCF(12096,12112) = 16

We will now calculate the prime factors of 12096 and 12112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12096 and 12112.

How to find the GCF of 12096 and 12112?

We will first find the prime factorization of 12096 and 12112. After we will calculate the factors of 12096 and 12112 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 12112

Prime factors of 12112 are 2, 757. Prime factorization of 12112 in exponential form is:

12112 = 2⁴ × 757¹

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 12112

List of positive integer factors of 12112 that divides 12096 without a remainder.

1, 2, 4, 8, 16, 757, 1514, 3028, 6056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12096 and 12112. The biggest common factor number is the GCF number.
So the greatest common factor 12096 and 12112 is 16.

Also check out the Least Common Multiple of 12096 and 12112