What is the Greatest Common Factor of 6886 and 6896?

Greatest common factor (GCF) of 6886 and 6896 is 2.

GCF(6886,6896) = 2

We will now calculate the prime factors of 6886 and 6896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6886 and 6896.

How to find the GCF of 6886 and 6896?

We will first find the prime factorization of 6886 and 6896. After we will calculate the factors of 6886 and 6896 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 6896

Prime factors of 6896 are 2, 431. Prime factorization of 6896 in exponential form is:

6896 = 2⁴ × 431¹

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 6896

List of positive integer factors of 6896 that divides 6886 without a remainder.

1, 2, 4, 8, 16, 431, 862, 1724, 3448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6886 and 6896. The biggest common factor number is the GCF number.
So the greatest common factor 6886 and 6896 is 2.

Also check out the Least Common Multiple of 6886 and 6896