What is the Greatest Common Factor of 12682 and 12699?

Greatest common factor (GCF) of 12682 and 12699 is 17.

GCF(12682,12699) = 17

We will now calculate the prime factors of 12682 and 12699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12682 and 12699.

How to find the GCF of 12682 and 12699?

We will first find the prime factorization of 12682 and 12699. After we will calculate the factors of 12682 and 12699 and find the biggest common factor number .

Step-1: Prime Factorization of 12682

Prime factors of 12682 are 2, 17, 373. Prime factorization of 12682 in exponential form is:

12682 = 2¹ × 17¹ × 373¹

Step-2: Prime Factorization of 12699

Prime factors of 12699 are 3, 17, 83. Prime factorization of 12699 in exponential form is:

12699 = 3² × 17¹ × 83¹

Step-3: Factors of 12682

List of positive integer factors of 12682 that divides 12682 without a remainder.

1, 2, 17, 34, 373, 746, 6341

Step-4: Factors of 12699

List of positive integer factors of 12699 that divides 12682 without a remainder.

1, 3, 9, 17, 51, 83, 153, 249, 747, 1411, 4233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12682 and 12699. The biggest common factor number is the GCF number.
So the greatest common factor 12682 and 12699 is 17.

Also check out the Least Common Multiple of 12682 and 12699