What is the Greatest Common Factor of 93856 and 93872?

Greatest common factor (GCF) of 93856 and 93872 is 16.

GCF(93856,93872) = 16

We will now calculate the prime factors of 93856 and 93872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93856 and 93872.

How to find the GCF of 93856 and 93872?

We will first find the prime factorization of 93856 and 93872. After we will calculate the factors of 93856 and 93872 and find the biggest common factor number .

Step-1: Prime Factorization of 93856

Prime factors of 93856 are 2, 7, 419. Prime factorization of 93856 in exponential form is:

93856 = 2⁵ × 7¹ × 419¹

Step-2: Prime Factorization of 93872

Prime factors of 93872 are 2, 5867. Prime factorization of 93872 in exponential form is:

93872 = 2⁴ × 5867¹

Step-3: Factors of 93856

List of positive integer factors of 93856 that divides 93856 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 419, 838, 1676, 2933, 3352, 5866, 6704, 11732, 13408, 23464, 46928

Step-4: Factors of 93872

List of positive integer factors of 93872 that divides 93856 without a remainder.

1, 2, 4, 8, 16, 5867, 11734, 23468, 46936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93856 and 93872. The biggest common factor number is the GCF number.
So the greatest common factor 93856 and 93872 is 16.

Also check out the Least Common Multiple of 93856 and 93872