What is the Greatest Common Factor of 6806 and 6817?

Greatest common factor (GCF) of 6806 and 6817 is 1.

GCF(6806,6817) = 1

We will now calculate the prime factors of 6806 and 6817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6806 and 6817.

How to find the GCF of 6806 and 6817?

We will first find the prime factorization of 6806 and 6817. After we will calculate the factors of 6806 and 6817 and find the biggest common factor number .

Step-1: Prime Factorization of 6806

Prime factors of 6806 are 2, 41, 83. Prime factorization of 6806 in exponential form is:

6806 = 2¹ × 41¹ × 83¹

Step-2: Prime Factorization of 6817

Prime factors of 6817 are 17, 401. Prime factorization of 6817 in exponential form is:

6817 = 17¹ × 401¹

Step-3: Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1, 2, 41, 82, 83, 166, 3403

Step-4: Factors of 6817

List of positive integer factors of 6817 that divides 6806 without a remainder.

1, 17, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6806 and 6817. The biggest common factor number is the GCF number.
So the greatest common factor 6806 and 6817 is 1.

Also check out the Least Common Multiple of 6806 and 6817