What is the Greatest Common Factor of 6799 and 6804?

Greatest common factor (GCF) of 6799 and 6804 is 1.

GCF(6799,6804) = 1

We will now calculate the prime factors of 6799 and 6804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6799 and 6804.

How to find the GCF of 6799 and 6804?

We will first find the prime factorization of 6799 and 6804. After we will calculate the factors of 6799 and 6804 and find the biggest common factor number .

Step-1: Prime Factorization of 6799

Prime factors of 6799 are 13, 523. Prime factorization of 6799 in exponential form is:

6799 = 13¹ × 523¹

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 6799

List of positive integer factors of 6799 that divides 6799 without a remainder.

1, 13, 523

Step-4: Factors of 6804

List of positive integer factors of 6804 that divides 6799 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 6799 and 6804. The biggest common factor number is the GCF number.
So the greatest common factor 6799 and 6804 is 1.

Also check out the Least Common Multiple of 6799 and 6804