What is the Greatest Common Factor of 93200 and 93216?

Greatest common factor (GCF) of 93200 and 93216 is 16.

GCF(93200,93216) = 16

We will now calculate the prime factors of 93200 and 93216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93200 and 93216.

How to find the GCF of 93200 and 93216?

We will first find the prime factorization of 93200 and 93216. After we will calculate the factors of 93200 and 93216 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93216

Prime factors of 93216 are 2, 3, 971. Prime factorization of 93216 in exponential form is:

93216 = 2⁵ × 3¹ × 971¹

Step-3: Factors of 93200

List of positive integer factors of 93200 that divides 93200 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

Step-4: Factors of 93216

List of positive integer factors of 93216 that divides 93200 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 971, 1942, 2913, 3884, 5826, 7768, 11652, 15536, 23304, 31072, 46608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93200 and 93216. The biggest common factor number is the GCF number.
So the greatest common factor 93200 and 93216 is 16.

Also check out the Least Common Multiple of 93200 and 93216