What is the Greatest Common Factor of 68928 and 68943?

Greatest common factor (GCF) of 68928 and 68943 is 3.

GCF(68928,68943) = 3

We will now calculate the prime factors of 68928 and 68943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68928 and 68943.

How to find the GCF of 68928 and 68943?

We will first find the prime factorization of 68928 and 68943. After we will calculate the factors of 68928 and 68943 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68943

Prime factors of 68943 are 3, 7, 67. Prime factorization of 68943 in exponential form is:

68943 = 3¹ × 7³ × 67¹

Step-3: Factors of 68928

List of positive integer factors of 68928 that divides 68928 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

Step-4: Factors of 68943

List of positive integer factors of 68943 that divides 68928 without a remainder.

1, 3, 7, 21, 49, 67, 147, 201, 343, 469, 1029, 1407, 3283, 9849, 22981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68928 and 68943. The biggest common factor number is the GCF number.
So the greatest common factor 68928 and 68943 is 3.

Also check out the Least Common Multiple of 68928 and 68943