What is the Greatest Common Factor of 6682 and 6696?

Greatest common factor (GCF) of 6682 and 6696 is 2.

GCF(6682,6696) = 2

We will now calculate the prime factors of 6682 and 6696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6682 and 6696.

How to find the GCF of 6682 and 6696?

We will first find the prime factorization of 6682 and 6696. After we will calculate the factors of 6682 and 6696 and find the biggest common factor number .

Step-1: Prime Factorization of 6682

Prime factors of 6682 are 2, 13, 257. Prime factorization of 6682 in exponential form is:

6682 = 2¹ × 13¹ × 257¹

Step-2: Prime Factorization of 6696

Prime factors of 6696 are 2, 3, 31. Prime factorization of 6696 in exponential form is:

6696 = 2³ × 3³ × 31¹

Step-3: Factors of 6682

List of positive integer factors of 6682 that divides 6682 without a remainder.

1, 2, 13, 26, 257, 514, 3341

Step-4: Factors of 6696

List of positive integer factors of 6696 that divides 6682 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6682 and 6696. The biggest common factor number is the GCF number.
So the greatest common factor 6682 and 6696 is 2.

Also check out the Least Common Multiple of 6682 and 6696