What is the Greatest Common Factor of 6859 and 6864?

Greatest common factor (GCF) of 6859 and 6864 is 1.

GCF(6859,6864) = 1

We will now calculate the prime factors of 6859 and 6864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6859 and 6864.

How to find the GCF of 6859 and 6864?

We will first find the prime factorization of 6859 and 6864. After we will calculate the factors of 6859 and 6864 and find the biggest common factor number .

Step-1: Prime Factorization of 6859

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 19³

Step-2: 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-3: Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1, 19, 361

Step-4: Factors of 6864

List of positive integer factors of 6864 that divides 6859 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6859 and 6864. The biggest common factor number is the GCF number.
So the greatest common factor 6859 and 6864 is 1.

Also check out the Least Common Multiple of 6859 and 6864