What is the Greatest Common Factor of 6897 and 6909?

Greatest common factor (GCF) of 6897 and 6909 is 3.

GCF(6897,6909) = 3

We will now calculate the prime factors of 6897 and 6909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6897 and 6909.

How to find the GCF of 6897 and 6909?

We will first find the prime factorization of 6897 and 6909. After we will calculate the factors of 6897 and 6909 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6909

Prime factors of 6909 are 3, 7, 47. Prime factorization of 6909 in exponential form is:

6909 = 3¹ × 7² × 47¹

Step-3: Factors of 6897

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

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

Step-4: Factors of 6909

List of positive integer factors of 6909 that divides 6897 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6897 and 6909. The biggest common factor number is the GCF number.
So the greatest common factor 6897 and 6909 is 3.

Also check out the Least Common Multiple of 6897 and 6909