What is the Greatest Common Factor of 6870 and 6876?

Greatest common factor (GCF) of 6870 and 6876 is 6.

GCF(6870,6876) = 6

We will now calculate the prime factors of 6870 and 6876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6870 and 6876.

How to find the GCF of 6870 and 6876?

We will first find the prime factorization of 6870 and 6876. After we will calculate the factors of 6870 and 6876 and find the biggest common factor number .

Step-1: Prime Factorization of 6870

Prime factors of 6870 are 2, 3, 5, 229. Prime factorization of 6870 in exponential form is:

6870 = 2¹ × 3¹ × 5¹ × 229¹

Step-2: Prime Factorization of 6876

Prime factors of 6876 are 2, 3, 191. Prime factorization of 6876 in exponential form is:

6876 = 2² × 3² × 191¹

Step-3: Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435

Step-4: Factors of 6876

List of positive integer factors of 6876 that divides 6870 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6870 and 6876. The biggest common factor number is the GCF number.
So the greatest common factor 6870 and 6876 is 6.

Also check out the Least Common Multiple of 6870 and 6876