What is the Greatest Common Factor of 12376 and 12389?

Greatest common factor (GCF) of 12376 and 12389 is 13.

GCF(12376,12389) = 13

We will now calculate the prime factors of 12376 and 12389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12376 and 12389.

How to find the GCF of 12376 and 12389?

We will first find the prime factorization of 12376 and 12389. After we will calculate the factors of 12376 and 12389 and find the biggest common factor number .

Step-1: Prime Factorization of 12376

Prime factors of 12376 are 2, 7, 13, 17. Prime factorization of 12376 in exponential form is:

12376 = 2³ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 12389

Prime factors of 12389 are 13, 953. Prime factorization of 12389 in exponential form is:

12389 = 13¹ × 953¹

Step-3: Factors of 12376

List of positive integer factors of 12376 that divides 12376 without a remainder.

1, 2, 4, 7, 8, 13, 14, 17, 26, 28, 34, 52, 56, 68, 91, 104, 119, 136, 182, 221, 238, 364, 442, 476, 728, 884, 952, 1547, 1768, 3094, 6188

Step-4: Factors of 12389

List of positive integer factors of 12389 that divides 12376 without a remainder.

1, 13, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12376 and 12389. The biggest common factor number is the GCF number.
So the greatest common factor 12376 and 12389 is 13.

Also check out the Least Common Multiple of 12376 and 12389