What is the Greatest Common Factor of 12693 and 12699?

Greatest common factor (GCF) of 12693 and 12699 is 3.

GCF(12693,12699) = 3

We will now calculate the prime factors of 12693 and 12699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12693 and 12699.

How to find the GCF of 12693 and 12699?

We will first find the prime factorization of 12693 and 12699. After we will calculate the factors of 12693 and 12699 and find the biggest common factor number .

Step-1: Prime Factorization of 12693

Prime factors of 12693 are 3, 4231. Prime factorization of 12693 in exponential form is:

12693 = 3¹ × 4231¹

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 12693

List of positive integer factors of 12693 that divides 12693 without a remainder.

1, 3, 4231

Step-4: Factors of 12699

List of positive integer factors of 12699 that divides 12693 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 12693 and 12699. The biggest common factor number is the GCF number.
So the greatest common factor 12693 and 12699 is 3.

Also check out the Least Common Multiple of 12693 and 12699