What is the Greatest Common Factor of 12359 and 12376?

Greatest common factor (GCF) of 12359 and 12376 is 17.

GCF(12359,12376) = 17

We will now calculate the prime factors of 12359 and 12376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12359 and 12376.

How to find the GCF of 12359 and 12376?

We will first find the prime factorization of 12359 and 12376. After we will calculate the factors of 12359 and 12376 and find the biggest common factor number .

Step-1: Prime Factorization of 12359

Prime factors of 12359 are 17, 727. Prime factorization of 12359 in exponential form is:

12359 = 17¹ × 727¹

Step-2: 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-3: Factors of 12359

List of positive integer factors of 12359 that divides 12359 without a remainder.

1, 17, 727

Step-4: Factors of 12376

List of positive integer factors of 12376 that divides 12359 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12359 and 12376. The biggest common factor number is the GCF number.
So the greatest common factor 12359 and 12376 is 17.

Also check out the Least Common Multiple of 12359 and 12376