What is the Greatest Common Factor of 6912 and 6930?

Greatest common factor (GCF) of 6912 and 6930 is 18.

GCF(6912,6930) = 18

We will now calculate the prime factors of 6912 and 6930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6912 and 6930.

How to find the GCF of 6912 and 6930?

We will first find the prime factorization of 6912 and 6930. After we will calculate the factors of 6912 and 6930 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 6930

Prime factors of 6930 are 2, 3, 5, 7, 11. Prime factorization of 6930 in exponential form is:

6930 = 2¹ × 3² × 5¹ × 7¹ × 11¹

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 6930

List of positive integer factors of 6930 that divides 6912 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 11, 14, 15, 18, 21, 22, 30, 33, 35, 42, 45, 55, 63, 66, 70, 77, 90, 99, 105, 110, 126, 154, 165, 198, 210, 231, 315, 330, 385, 462, 495, 630, 693, 770, 990, 1155, 1386, 2310, 3465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6912 and 6930. The biggest common factor number is the GCF number.
So the greatest common factor 6912 and 6930 is 18.

Also check out the Least Common Multiple of 6912 and 6930