What is the Greatest Common Factor of 6912 and 6928?

Greatest common factor (GCF) of 6912 and 6928 is 16.

GCF(6912,6928) = 16

We will now calculate the prime factors of 6912 and 6928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6912 and 6928.

How to find the GCF of 6912 and 6928?

We will first find the prime factorization of 6912 and 6928. After we will calculate the factors of 6912 and 6928 and find the biggest common factor number .

Step-1: Prime Factorization of 6912

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

6912 = 2⁸ × 3³

Step-2: Prime Factorization of 6928

Prime factors of 6928 are 2, 433. Prime factorization of 6928 in exponential form is:

6928 = 2⁴ × 433¹

Step-3: Factors of 6912

List of positive integer factors of 6912 that divides 6912 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

Step-4: Factors of 6928

List of positive integer factors of 6928 that divides 6912 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6912 and 6928. The biggest common factor number is the GCF number.
So the greatest common factor 6912 and 6928 is 16.

Also check out the Least Common Multiple of 6912 and 6928