What is the Greatest Common Factor of 6878 and 6897?

Greatest common factor (GCF) of 6878 and 6897 is 19.

GCF(6878,6897) = 19

We will now calculate the prime factors of 6878 and 6897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6878 and 6897.

How to find the GCF of 6878 and 6897?

We will first find the prime factorization of 6878 and 6897. After we will calculate the factors of 6878 and 6897 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6897

Prime factors of 6897 are 3, 11, 19. Prime factorization of 6897 in exponential form is:

6897 = 3¹ × 11² × 19¹

Step-3: Factors of 6878

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

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

Step-4: Factors of 6897

List of positive integer factors of 6897 that divides 6878 without a remainder.

1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6878 and 6897. The biggest common factor number is the GCF number.
So the greatest common factor 6878 and 6897 is 19.

Also check out the Least Common Multiple of 6878 and 6897