What is the Greatest Common Factor of 93936 and 93943?

Greatest common factor (GCF) of 93936 and 93943 is 1.

GCF(93936,93943) = 1

We will now calculate the prime factors of 93936 and 93943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93936 and 93943.

How to find the GCF of 93936 and 93943?

We will first find the prime factorization of 93936 and 93943. After we will calculate the factors of 93936 and 93943 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 93943

Prime factors of 93943 are 37, 2539. Prime factorization of 93943 in exponential form is:

93943 = 37¹ × 2539¹

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 93943

List of positive integer factors of 93943 that divides 93936 without a remainder.

1, 37, 2539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93936 and 93943. The biggest common factor number is the GCF number.
So the greatest common factor 93936 and 93943 is 1.

Also check out the Least Common Multiple of 93936 and 93943