What is the Greatest Common Factor of 6802 and 6806?

Greatest common factor (GCF) of 6802 and 6806 is 2.

GCF(6802,6806) = 2

We will now calculate the prime factors of 6802 and 6806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6802 and 6806.

How to find the GCF of 6802 and 6806?

We will first find the prime factorization of 6802 and 6806. After we will calculate the factors of 6802 and 6806 and find the biggest common factor number .

Step-1: Prime Factorization of 6802

Prime factors of 6802 are 2, 19, 179. Prime factorization of 6802 in exponential form is:

6802 = 2¹ × 19¹ × 179¹

Step-2: 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-3: Factors of 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1, 2, 19, 38, 179, 358, 3401

Step-4: Factors of 6806

List of positive integer factors of 6806 that divides 6802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6802 and 6806. The biggest common factor number is the GCF number.
So the greatest common factor 6802 and 6806 is 2.

Also check out the Least Common Multiple of 6802 and 6806