What is the Greatest Common Factor of 6804 and 6810?

Greatest common factor (GCF) of 6804 and 6810 is 6.

GCF(6804,6810) = 6

We will now calculate the prime factors of 6804 and 6810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6804 and 6810.

How to find the GCF of 6804 and 6810?

We will first find the prime factorization of 6804 and 6810. After we will calculate the factors of 6804 and 6810 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 6810

Prime factors of 6810 are 2, 3, 5, 227. Prime factorization of 6810 in exponential form is:

6810 = 2¹ × 3¹ × 5¹ × 227¹

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 6810

List of positive integer factors of 6810 that divides 6804 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6804 and 6810. The biggest common factor number is the GCF number.
So the greatest common factor 6804 and 6810 is 6.

Also check out the Least Common Multiple of 6804 and 6810