What is the Greatest Common Factor of 93184 and 93200?

Greatest common factor (GCF) of 93184 and 93200 is 16.

GCF(93184,93200) = 16

We will now calculate the prime factors of 93184 and 93200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93184 and 93200.

How to find the GCF of 93184 and 93200?

We will first find the prime factorization of 93184 and 93200. After we will calculate the factors of 93184 and 93200 and find the biggest common factor number .

Step-1: Prime Factorization of 93184

Prime factors of 93184 are 2, 7, 13. Prime factorization of 93184 in exponential form is:

93184 = 2¹⁰ × 7¹ × 13¹

Step-2: Prime Factorization of 93200

Prime factors of 93200 are 2, 5, 233. Prime factorization of 93200 in exponential form is:

93200 = 2⁴ × 5² × 233¹

Step-3: Factors of 93184

List of positive integer factors of 93184 that divides 93184 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 128, 182, 208, 224, 256, 364, 416, 448, 512, 728, 832, 896, 1024, 1456, 1664, 1792, 2912, 3328, 3584, 5824, 6656, 7168, 11648, 13312, 23296, 46592

Step-4: Factors of 93200

List of positive integer factors of 93200 that divides 93184 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 233, 400, 466, 932, 1165, 1864, 2330, 3728, 4660, 5825, 9320, 11650, 18640, 23300, 46600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93184 and 93200. The biggest common factor number is the GCF number.
So the greatest common factor 93184 and 93200 is 16.

Also check out the Least Common Multiple of 93184 and 93200