What is the Greatest Common Factor of 68928 and 68936?

Greatest common factor (GCF) of 68928 and 68936 is 8.

GCF(68928,68936) = 8

We will now calculate the prime factors of 68928 and 68936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68928 and 68936.

How to find the GCF of 68928 and 68936?

We will first find the prime factorization of 68928 and 68936. After we will calculate the factors of 68928 and 68936 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 68936

Prime factors of 68936 are 2, 7, 1231. Prime factorization of 68936 in exponential form is:

68936 = 2³ × 7¹ × 1231¹

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 68936

List of positive integer factors of 68936 that divides 68928 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1231, 2462, 4924, 8617, 9848, 17234, 34468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68928 and 68936. The biggest common factor number is the GCF number.
So the greatest common factor 68928 and 68936 is 8.

Also check out the Least Common Multiple of 68928 and 68936