What is the Greatest Common Factor of 6693 and 6699?

Greatest common factor (GCF) of 6693 and 6699 is 3.

GCF(6693,6699) = 3

We will now calculate the prime factors of 6693 and 6699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6693 and 6699.

How to find the GCF of 6693 and 6699?

We will first find the prime factorization of 6693 and 6699. After we will calculate the factors of 6693 and 6699 and find the biggest common factor number .

Step-1: Prime Factorization of 6693

Prime factors of 6693 are 3, 23, 97. Prime factorization of 6693 in exponential form is:

6693 = 3¹ × 23¹ × 97¹

Step-2: Prime Factorization of 6699

Prime factors of 6699 are 3, 7, 11, 29. Prime factorization of 6699 in exponential form is:

6699 = 3¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 6693

List of positive integer factors of 6693 that divides 6693 without a remainder.

1, 3, 23, 69, 97, 291, 2231

Step-4: Factors of 6699

List of positive integer factors of 6699 that divides 6693 without a remainder.

1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6693 and 6699. The biggest common factor number is the GCF number.
So the greatest common factor 6693 and 6699 is 3.

Also check out the Least Common Multiple of 6693 and 6699