What is the Greatest Common Factor of 6886 and 6897?

Greatest common factor (GCF) of 6886 and 6897 is 11.

GCF(6886,6897) = 11

We will now calculate the prime factors of 6886 and 6897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6886 and 6897.

How to find the GCF of 6886 and 6897?

We will first find the prime factorization of 6886 and 6897. After we will calculate the factors of 6886 and 6897 and find the biggest common factor number .

Step-1: Prime Factorization of 6886

Prime factors of 6886 are 2, 11, 313. Prime factorization of 6886 in exponential form is:

6886 = 2¹ × 11¹ × 313¹

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 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1, 2, 11, 22, 313, 626, 3443

Step-4: Factors of 6897

List of positive integer factors of 6897 that divides 6886 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 6886 and 6897. The biggest common factor number is the GCF number.
So the greatest common factor 6886 and 6897 is 11.

Also check out the Least Common Multiple of 6886 and 6897