What is the Greatest Common Factor of 6828 and 6837?

Greatest common factor (GCF) of 6828 and 6837 is 3.

GCF(6828,6837) = 3

We will now calculate the prime factors of 6828 and 6837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6828 and 6837.

How to find the GCF of 6828 and 6837?

We will first find the prime factorization of 6828 and 6837. After we will calculate the factors of 6828 and 6837 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6837

Prime factors of 6837 are 3, 43, 53. Prime factorization of 6837 in exponential form is:

6837 = 3¹ × 43¹ × 53¹

Step-3: Factors of 6828

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

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

Step-4: Factors of 6837

List of positive integer factors of 6837 that divides 6828 without a remainder.

1, 3, 43, 53, 129, 159, 2279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6828 and 6837. The biggest common factor number is the GCF number.
So the greatest common factor 6828 and 6837 is 3.

Also check out the Least Common Multiple of 6828 and 6837