What is the Greatest Common Factor of 6810 and 6828?

Greatest common factor (GCF) of 6810 and 6828 is 6.

GCF(6810,6828) = 6

We will now calculate the prime factors of 6810 and 6828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6810 and 6828.

How to find the GCF of 6810 and 6828?

We will first find the prime factorization of 6810 and 6828. After we will calculate the factors of 6810 and 6828 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 6828

Prime factors of 6828 are 2, 3, 569. Prime factorization of 6828 in exponential form is:

6828 = 2² × 3¹ × 569¹

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 6828

List of positive integer factors of 6828 that divides 6810 without a remainder.

1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6810 and 6828. The biggest common factor number is the GCF number.
So the greatest common factor 6810 and 6828 is 6.

Also check out the Least Common Multiple of 6810 and 6828