What is the Greatest Common Factor of 12123 and 12128?

Greatest common factor (GCF) of 12123 and 12128 is 1.

GCF(12123,12128) = 1

We will now calculate the prime factors of 12123 and 12128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12123 and 12128.

How to find the GCF of 12123 and 12128?

We will first find the prime factorization of 12123 and 12128. After we will calculate the factors of 12123 and 12128 and find the biggest common factor number .

Step-1: Prime Factorization of 12123

Prime factors of 12123 are 3, 449. Prime factorization of 12123 in exponential form is:

12123 = 3³ × 449¹

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 12123

List of positive integer factors of 12123 that divides 12123 without a remainder.

1, 3, 9, 27, 449, 1347, 4041

Step-4: Factors of 12128

List of positive integer factors of 12128 that divides 12123 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 12123 and 12128. The biggest common factor number is the GCF number.
So the greatest common factor 12123 and 12128 is 1.

Also check out the Least Common Multiple of 12123 and 12128