What is the Greatest Common Factor of 6678 and 6696?

Greatest common factor (GCF) of 6678 and 6696 is 18.

GCF(6678,6696) = 18

We will now calculate the prime factors of 6678 and 6696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6678 and 6696.

How to find the GCF of 6678 and 6696?

We will first find the prime factorization of 6678 and 6696. After we will calculate the factors of 6678 and 6696 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 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 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 6696

List of positive integer factors of 6696 that divides 6678 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 6678 and 6696. The biggest common factor number is the GCF number.
So the greatest common factor 6678 and 6696 is 18.

Also check out the Least Common Multiple of 6678 and 6696