What is the Greatest Common Factor of 93920 and 93936?

Greatest common factor (GCF) of 93920 and 93936 is 16.

GCF(93920,93936) = 16

We will now calculate the prime factors of 93920 and 93936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93920 and 93936.

How to find the GCF of 93920 and 93936?

We will first find the prime factorization of 93920 and 93936. After we will calculate the factors of 93920 and 93936 and find the biggest common factor number .

Step-1: Prime Factorization of 93920

Prime factors of 93920 are 2, 5, 587. Prime factorization of 93920 in exponential form is:

93920 = 2⁵ × 5¹ × 587¹

Step-2: 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-3: Factors of 93920

List of positive integer factors of 93920 that divides 93920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 18784, 23480, 46960

Step-4: Factors of 93936

List of positive integer factors of 93936 that divides 93920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93920 and 93936. The biggest common factor number is the GCF number.
So the greatest common factor 93920 and 93936 is 16.

Also check out the Least Common Multiple of 93920 and 93936