What is the Greatest Common Factor of 12699 and 12717?

Greatest common factor (GCF) of 12699 and 12717 is 9.

GCF(12699,12717) = 9

We will now calculate the prime factors of 12699 and 12717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12699 and 12717.

How to find the GCF of 12699 and 12717?

We will first find the prime factorization of 12699 and 12717. After we will calculate the factors of 12699 and 12717 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12717

Prime factors of 12717 are 3, 157. Prime factorization of 12717 in exponential form is:

12717 = 3⁴ × 157¹

Step-3: Factors of 12699

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

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

Step-4: Factors of 12717

List of positive integer factors of 12717 that divides 12699 without a remainder.

1, 3, 9, 27, 81, 157, 471, 1413, 4239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12699 and 12717. The biggest common factor number is the GCF number.
So the greatest common factor 12699 and 12717 is 9.

Also check out the Least Common Multiple of 12699 and 12717