What is the Greatest Common Factor of 6859 and 6878?

Greatest common factor (GCF) of 6859 and 6878 is 19.

GCF(6859,6878) = 19

We will now calculate the prime factors of 6859 and 6878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6859 and 6878.

How to find the GCF of 6859 and 6878?

We will first find the prime factorization of 6859 and 6878. After we will calculate the factors of 6859 and 6878 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 6878

Prime factors of 6878 are 2, 19, 181. Prime factorization of 6878 in exponential form is:

6878 = 2¹ × 19¹ × 181¹

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 6878

List of positive integer factors of 6878 that divides 6859 without a remainder.

1, 2, 19, 38, 181, 362, 3439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6859 and 6878. The biggest common factor number is the GCF number.
So the greatest common factor 6859 and 6878 is 19.

Also check out the Least Common Multiple of 6859 and 6878