What is the Greatest Common Factor of 6786 and 6804?

Greatest common factor (GCF) of 6786 and 6804 is 18.

GCF(6786,6804) = 18

We will now calculate the prime factors of 6786 and 6804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6786 and 6804.

How to find the GCF of 6786 and 6804?

We will first find the prime factorization of 6786 and 6804. After we will calculate the factors of 6786 and 6804 and find the biggest common factor number .

Step-1: Prime Factorization of 6786

Prime factors of 6786 are 2, 3, 13, 29. Prime factorization of 6786 in exponential form is:

6786 = 2¹ × 3² × 13¹ × 29¹

Step-2: 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-3: Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393

Step-4: Factors of 6804

List of positive integer factors of 6804 that divides 6786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6786 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6786 and 6804 is 18.

Also check out the Least Common Multiple of 6786 and 6804