What is the Greatest Common Factor of 6806 and 6816?

Greatest common factor (GCF) of 6806 and 6816 is 2.

GCF(6806,6816) = 2

We will now calculate the prime factors of 6806 and 6816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6806 and 6816.

How to find the GCF of 6806 and 6816?

We will first find the prime factorization of 6806 and 6816. After we will calculate the factors of 6806 and 6816 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 6816

Prime factors of 6816 are 2, 3, 71. Prime factorization of 6816 in exponential form is:

6816 = 2⁵ × 3¹ × 71¹

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 6816

List of positive integer factors of 6816 that divides 6806 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6806 and 6816. The biggest common factor number is the GCF number.
So the greatest common factor 6806 and 6816 is 2.

Also check out the Least Common Multiple of 6806 and 6816