What is the Greatest Common Factor of 93921 and 93936?

Greatest common factor (GCF) of 93921 and 93936 is 3.

GCF(93921,93936) = 3

We will now calculate the prime factors of 93921 and 93936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93921 and 93936.

How to find the GCF of 93921 and 93936?

We will first find the prime factorization of 93921 and 93936. After we will calculate the factors of 93921 and 93936 and find the biggest common factor number .

Step-1: Prime Factorization of 93921

Prime factors of 93921 are 3, 31307. Prime factorization of 93921 in exponential form is:

93921 = 3¹ × 31307¹

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 93921

List of positive integer factors of 93921 that divides 93921 without a remainder.

1, 3, 31307

Step-4: Factors of 93936

List of positive integer factors of 93936 that divides 93921 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 93921 and 93936. The biggest common factor number is the GCF number.
So the greatest common factor 93921 and 93936 is 3.

Also check out the Least Common Multiple of 93921 and 93936