What is the Greatest Common Factor of 6686 and 6690?

Greatest common factor (GCF) of 6686 and 6690 is 2.

GCF(6686,6690) = 2

We will now calculate the prime factors of 6686 and 6690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6686 and 6690.

How to find the GCF of 6686 and 6690?

We will first find the prime factorization of 6686 and 6690. After we will calculate the factors of 6686 and 6690 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 6690

Prime factors of 6690 are 2, 3, 5, 223. Prime factorization of 6690 in exponential form is:

6690 = 2¹ × 3¹ × 5¹ × 223¹

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 6690

List of positive integer factors of 6690 that divides 6686 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6686 and 6690. The biggest common factor number is the GCF number.
So the greatest common factor 6686 and 6690 is 2.

Also check out the Least Common Multiple of 6686 and 6690