What is the Greatest Common Factor of 6804 and 6822?

Greatest common factor (GCF) of 6804 and 6822 is 18.

GCF(6804,6822) = 18

We will now calculate the prime factors of 6804 and 6822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6804 and 6822.

How to find the GCF of 6804 and 6822?

We will first find the prime factorization of 6804 and 6822. After we will calculate the factors of 6804 and 6822 and find the biggest common factor number .

Step-1: Prime Factorization of 6804

Prime factors of 6804 are 2, 3, 7. Prime factorization of 6804 in exponential form is:

6804 = 2² × 3⁵ × 7¹

Step-2: Prime Factorization of 6822

Prime factors of 6822 are 2, 3, 379. Prime factorization of 6822 in exponential form is:

6822 = 2¹ × 3² × 379¹

Step-3: Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402

Step-4: Factors of 6822

List of positive integer factors of 6822 that divides 6804 without a remainder.

1, 2, 3, 6, 9, 18, 379, 758, 1137, 2274, 3411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6804 and 6822. The biggest common factor number is the GCF number.
So the greatest common factor 6804 and 6822 is 18.

Also check out the Least Common Multiple of 6804 and 6822