What is the Greatest Common Factor of 93936 and 93952?

Greatest common factor (GCF) of 93936 and 93952 is 16.

GCF(93936,93952) = 16

We will now calculate the prime factors of 93936 and 93952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93936 and 93952.

How to find the GCF of 93936 and 93952?

We will first find the prime factorization of 93936 and 93952. After we will calculate the factors of 93936 and 93952 and find the biggest common factor number .

Step-1: Prime Factorization of 93936

Prime factors of 93936 are 2, 3, 19, 103. Prime factorization of 93936 in exponential form is:

93936 = 2⁴ × 3¹ × 19¹ × 103¹

Step-2: Prime Factorization of 93952

Prime factors of 93952 are 2, 367. Prime factorization of 93952 in exponential form is:

93952 = 2⁸ × 367¹

Step-3: Factors of 93936

List of positive integer factors of 93936 that divides 93936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 103, 114, 152, 206, 228, 304, 309, 412, 456, 618, 824, 912, 1236, 1648, 1957, 2472, 3914, 4944, 5871, 7828, 11742, 15656, 23484, 31312, 46968

Step-4: Factors of 93952

List of positive integer factors of 93952 that divides 93936 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 367, 734, 1468, 2936, 5872, 11744, 23488, 46976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93936 and 93952. The biggest common factor number is the GCF number.
So the greatest common factor 93936 and 93952 is 16.

Also check out the Least Common Multiple of 93936 and 93952