What is the Greatest Common Factor of 6886 and 6904?

Greatest common factor (GCF) of 6886 and 6904 is 2.

GCF(6886,6904) = 2

We will now calculate the prime factors of 6886 and 6904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6886 and 6904.

How to find the GCF of 6886 and 6904?

We will first find the prime factorization of 6886 and 6904. After we will calculate the factors of 6886 and 6904 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 6904

Prime factors of 6904 are 2, 863. Prime factorization of 6904 in exponential form is:

6904 = 2³ × 863¹

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 6904

List of positive integer factors of 6904 that divides 6886 without a remainder.

1, 2, 4, 8, 863, 1726, 3452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6886 and 6904. The biggest common factor number is the GCF number.
So the greatest common factor 6886 and 6904 is 2.

Also check out the Least Common Multiple of 6886 and 6904