What is the Greatest Common Factor of 68912 and 68928?

Greatest common factor (GCF) of 68912 and 68928 is 16.

GCF(68912,68928) = 16

We will now calculate the prime factors of 68912 and 68928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68912 and 68928.

How to find the GCF of 68912 and 68928?

We will first find the prime factorization of 68912 and 68928. After we will calculate the factors of 68912 and 68928 and find the biggest common factor number .

Step-1: Prime Factorization of 68912

Prime factors of 68912 are 2, 59, 73. Prime factorization of 68912 in exponential form is:

68912 = 2⁴ × 59¹ × 73¹

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 68912

List of positive integer factors of 68912 that divides 68912 without a remainder.

1, 2, 4, 8, 16, 59, 73, 118, 146, 236, 292, 472, 584, 944, 1168, 4307, 8614, 17228, 34456

Step-4: Factors of 68928

List of positive integer factors of 68928 that divides 68912 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 68912 and 68928. The biggest common factor number is the GCF number.
So the greatest common factor 68912 and 68928 is 16.

Also check out the Least Common Multiple of 68912 and 68928