GCF and LCM Calculator Logo

What is the Greatest Common Factor of 6686 and 6704?

Greatest common factor (GCF) of 6686 and 6704 is 2.

GCF(6686,6704) = 2

We will now calculate the prime factors of 6686 and 6704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6686 and 6704.

GCF Calculator and
and

How to find the GCF of 6686 and 6704?

We will first find the prime factorization of 6686 and 6704. After we will calculate the factors of 6686 and 6704 and find the biggest common factor number .

Step-1: Prime Factorization of 6686

Prime factors of 6686 are 2, 3343. Prime factorization of 6686 in exponential form is:

6686 = 21 × 33431

Step-2: Prime Factorization of 6704

Prime factors of 6704 are 2, 419. Prime factorization of 6704 in exponential form is:

6704 = 24 × 4191

Step-3: Factors of 6686

List of positive integer factors of 6686 that divides 6686 without a remainder.

1, 2, 3343

Step-4: Factors of 6704

List of positive integer factors of 6704 that divides 6686 without a remainder.

1, 2, 4, 8, 16, 419, 838, 1676, 3352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6686 and 6704. The biggest common factor number is the GCF number.
So the greatest common factor 6686 and 6704 is 2.

Also check out the Least Common Multiple of 6686 and 6704