What is the Greatest Common Factor of 93204 and 93216?

Greatest common factor (GCF) of 93204 and 93216 is 12.

GCF(93204,93216) = 12

We will now calculate the prime factors of 93204 and 93216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93204 and 93216.

How to find the GCF of 93204 and 93216?

We will first find the prime factorization of 93204 and 93216. After we will calculate the factors of 93204 and 93216 and find the biggest common factor number .

Step-1: Prime Factorization of 93204

Prime factors of 93204 are 2, 3, 863. Prime factorization of 93204 in exponential form is:

93204 = 2² × 3³ × 863¹

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 93204

List of positive integer factors of 93204 that divides 93204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 863, 1726, 2589, 3452, 5178, 7767, 10356, 15534, 23301, 31068, 46602

Step-4: Factors of 93216

List of positive integer factors of 93216 that divides 93204 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 93204 and 93216. The biggest common factor number is the GCF number.
So the greatest common factor 93204 and 93216 is 12.

Also check out the Least Common Multiple of 93204 and 93216