What is the Greatest Common Factor of 6789 and 6804?

Greatest common factor (GCF) of 6789 and 6804 is 3.

GCF(6789,6804) = 3

We will now calculate the prime factors of 6789 and 6804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6789 and 6804.

How to find the GCF of 6789 and 6804?

We will first find the prime factorization of 6789 and 6804. After we will calculate the factors of 6789 and 6804 and find the biggest common factor number .

Step-1: Prime Factorization of 6789

Prime factors of 6789 are 3, 31, 73. Prime factorization of 6789 in exponential form is:

6789 = 3¹ × 31¹ × 73¹

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 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1, 3, 31, 73, 93, 219, 2263

Step-4: Factors of 6804

List of positive integer factors of 6804 that divides 6789 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 6789 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6789 and 6804 is 3.

Also check out the Least Common Multiple of 6789 and 6804