What is the Greatest Common Factor of 6870 and 6888?

Greatest common factor (GCF) of 6870 and 6888 is 6.

GCF(6870,6888) = 6

We will now calculate the prime factors of 6870 and 6888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6870 and 6888.

How to find the GCF of 6870 and 6888?

We will first find the prime factorization of 6870 and 6888. After we will calculate the factors of 6870 and 6888 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 6888

Prime factors of 6888 are 2, 3, 7, 41. Prime factorization of 6888 in exponential form is:

6888 = 2³ × 3¹ × 7¹ × 41¹

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 6888

List of positive integer factors of 6888 that divides 6870 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6870 and 6888. The biggest common factor number is the GCF number.
So the greatest common factor 6870 and 6888 is 6.

Also check out the Least Common Multiple of 6870 and 6888