What is the Greatest Common Factor of 12112 and 12128?

Greatest common factor (GCF) of 12112 and 12128 is 16.

GCF(12112,12128) = 16

We will now calculate the prime factors of 12112 and 12128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12112 and 12128.

How to find the GCF of 12112 and 12128?

We will first find the prime factorization of 12112 and 12128. After we will calculate the factors of 12112 and 12128 and find the biggest common factor number .

Step-1: Prime Factorization of 12112

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

12112 = 2⁴ × 757¹

Step-2: Prime Factorization of 12128

Prime factors of 12128 are 2, 379. Prime factorization of 12128 in exponential form is:

12128 = 2⁵ × 379¹

Step-3: Factors of 12112

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

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

Step-4: Factors of 12128

List of positive integer factors of 12128 that divides 12112 without a remainder.

1, 2, 4, 8, 16, 32, 379, 758, 1516, 3032, 6064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12112 and 12128. The biggest common factor number is the GCF number.
So the greatest common factor 12112 and 12128 is 16.

Also check out the Least Common Multiple of 12112 and 12128