What is the Greatest Common Factor of 6810 and 6814?

Greatest common factor (GCF) of 6810 and 6814 is 2.

GCF(6810,6814) = 2

We will now calculate the prime factors of 6810 and 6814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6810 and 6814.

How to find the GCF of 6810 and 6814?

We will first find the prime factorization of 6810 and 6814. After we will calculate the factors of 6810 and 6814 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 6814

Prime factors of 6814 are 2, 3407. Prime factorization of 6814 in exponential form is:

6814 = 2¹ × 3407¹

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 6814

List of positive integer factors of 6814 that divides 6810 without a remainder.

1, 2, 3407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6810 and 6814. The biggest common factor number is the GCF number.
So the greatest common factor 6810 and 6814 is 2.

Also check out the Least Common Multiple of 6810 and 6814