What is the Greatest Common Factor of 6896 and 6912?

Greatest common factor (GCF) of 6896 and 6912 is 16.

GCF(6896,6912) = 16

We will now calculate the prime factors of 6896 and 6912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6896 and 6912.

How to find the GCF of 6896 and 6912?

We will first find the prime factorization of 6896 and 6912. After we will calculate the factors of 6896 and 6912 and find the biggest common factor number .

Step-1: Prime Factorization of 6896

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

6896 = 2⁴ × 431¹

Step-2: Prime Factorization of 6912

Prime factors of 6912 are 2, 3. Prime factorization of 6912 in exponential form is:

6912 = 2⁸ × 3³

Step-3: Factors of 6896

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

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

Step-4: Factors of 6912

List of positive integer factors of 6912 that divides 6896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6896 and 6912. The biggest common factor number is the GCF number.
So the greatest common factor 6896 and 6912 is 16.

Also check out the Least Common Multiple of 6896 and 6912