What is the Greatest Common Factor of 12104 and 12112?

Greatest common factor (GCF) of 12104 and 12112 is 8.

GCF(12104,12112) = 8

We will now calculate the prime factors of 12104 and 12112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12104 and 12112.

How to find the GCF of 12104 and 12112?

We will first find the prime factorization of 12104 and 12112. After we will calculate the factors of 12104 and 12112 and find the biggest common factor number .

Step-1: Prime Factorization of 12104

Prime factors of 12104 are 2, 17, 89. Prime factorization of 12104 in exponential form is:

12104 = 2³ × 17¹ × 89¹

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 12104

List of positive integer factors of 12104 that divides 12104 without a remainder.

1, 2, 4, 8, 17, 34, 68, 89, 136, 178, 356, 712, 1513, 3026, 6052

Step-4: Factors of 12112

List of positive integer factors of 12112 that divides 12104 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 12104 and 12112. The biggest common factor number is the GCF number.
So the greatest common factor 12104 and 12112 is 8.

Also check out the Least Common Multiple of 12104 and 12112