What is the Greatest Common Factor of 6810 and 6816?

Greatest common factor (GCF) of 6810 and 6816 is 6.

GCF(6810,6816) = 6

We will now calculate the prime factors of 6810 and 6816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6810 and 6816.

How to find the GCF of 6810 and 6816?

We will first find the prime factorization of 6810 and 6816. After we will calculate the factors of 6810 and 6816 and find the biggest common factor number .

Step-1: Prime Factorization of 6810

Prime factors of 6810 are 2, 3, 5, 227. Prime factorization of 6810 in exponential form is:

6810 = 2¹ × 3¹ × 5¹ × 227¹

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 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405

Step-4: Factors of 6816

List of positive integer factors of 6816 that divides 6810 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 6810 and 6816. The biggest common factor number is the GCF number.
So the greatest common factor 6810 and 6816 is 6.

Also check out the Least Common Multiple of 6810 and 6816