What is the Greatest Common Factor of 6864 and 6870?

Greatest common factor (GCF) of 6864 and 6870 is 6.

GCF(6864,6870) = 6

We will now calculate the prime factors of 6864 and 6870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6864 and 6870.

How to find the GCF of 6864 and 6870?

We will first find the prime factorization of 6864 and 6870. After we will calculate the factors of 6864 and 6870 and find the biggest common factor number .

Step-1: Prime Factorization of 6864

Prime factors of 6864 are 2, 3, 11, 13. Prime factorization of 6864 in exponential form is:

6864 = 2⁴ × 3¹ × 11¹ × 13¹

Step-2: 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-3: Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432

Step-4: Factors of 6870

List of positive integer factors of 6870 that divides 6864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6864 and 6870. The biggest common factor number is the GCF number.
So the greatest common factor 6864 and 6870 is 6.

Also check out the Least Common Multiple of 6864 and 6870