What is the Greatest Common Factor of 68922 and 68928?

Greatest common factor (GCF) of 68922 and 68928 is 6.

GCF(68922,68928) = 6

We will now calculate the prime factors of 68922 and 68928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68922 and 68928.

How to find the GCF of 68922 and 68928?

We will first find the prime factorization of 68922 and 68928. After we will calculate the factors of 68922 and 68928 and find the biggest common factor number .

Step-1: Prime Factorization of 68922

Prime factors of 68922 are 2, 3, 7, 547. Prime factorization of 68922 in exponential form is:

68922 = 2¹ × 3² × 7¹ × 547¹

Step-2: Prime Factorization of 68928

Prime factors of 68928 are 2, 3, 359. Prime factorization of 68928 in exponential form is:

68928 = 2⁶ × 3¹ × 359¹

Step-3: Factors of 68922

List of positive integer factors of 68922 that divides 68922 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 547, 1094, 1641, 3282, 3829, 4923, 7658, 9846, 11487, 22974, 34461

Step-4: Factors of 68928

List of positive integer factors of 68928 that divides 68922 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 11488, 17232, 22976, 34464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68922 and 68928. The biggest common factor number is the GCF number.
So the greatest common factor 68922 and 68928 is 6.

Also check out the Least Common Multiple of 68922 and 68928