What is the Greatest Common Factor of 6801 and 6819?

Greatest common factor (GCF) of 6801 and 6819 is 3.

GCF(6801,6819) = 3

We will now calculate the prime factors of 6801 and 6819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6801 and 6819.

How to find the GCF of 6801 and 6819?

We will first find the prime factorization of 6801 and 6819. After we will calculate the factors of 6801 and 6819 and find the biggest common factor number .

Step-1: Prime Factorization of 6801

Prime factors of 6801 are 3, 2267. Prime factorization of 6801 in exponential form is:

6801 = 3¹ × 2267¹

Step-2: Prime Factorization of 6819

Prime factors of 6819 are 3, 2273. Prime factorization of 6819 in exponential form is:

6819 = 3¹ × 2273¹

Step-3: Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1, 3, 2267

Step-4: Factors of 6819

List of positive integer factors of 6819 that divides 6801 without a remainder.

1, 3, 2273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6801 and 6819. The biggest common factor number is the GCF number.
So the greatest common factor 6801 and 6819 is 3.

Also check out the Least Common Multiple of 6801 and 6819