What is the Greatest Common Factor of 6678 and 6682?

Greatest common factor (GCF) of 6678 and 6682 is 2.

GCF(6678,6682) = 2

We will now calculate the prime factors of 6678 and 6682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6678 and 6682.

How to find the GCF of 6678 and 6682?

We will first find the prime factorization of 6678 and 6682. After we will calculate the factors of 6678 and 6682 and find the biggest common factor number .

Step-1: Prime Factorization of 6678

Prime factors of 6678 are 2, 3, 7, 53. Prime factorization of 6678 in exponential form is:

6678 = 2¹ × 3² × 7¹ × 53¹

Step-2: 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-3: Factors of 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339

Step-4: Factors of 6682

List of positive integer factors of 6682 that divides 6678 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6678 and 6682. The biggest common factor number is the GCF number.
So the greatest common factor 6678 and 6682 is 2.

Also check out the Least Common Multiple of 6678 and 6682