What is the Greatest Common Factor of 93216 and 93228?

Greatest common factor (GCF) of 93216 and 93228 is 12.

GCF(93216,93228) = 12

We will now calculate the prime factors of 93216 and 93228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93216 and 93228.

How to find the GCF of 93216 and 93228?

We will first find the prime factorization of 93216 and 93228. After we will calculate the factors of 93216 and 93228 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93228

Prime factors of 93228 are 2, 3, 17, 457. Prime factorization of 93228 in exponential form is:

93228 = 2² × 3¹ × 17¹ × 457¹

Step-3: Factors of 93216

List of positive integer factors of 93216 that divides 93216 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

Step-4: Factors of 93228

List of positive integer factors of 93228 that divides 93216 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 457, 914, 1371, 1828, 2742, 5484, 7769, 15538, 23307, 31076, 46614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93216 and 93228. The biggest common factor number is the GCF number.
So the greatest common factor 93216 and 93228 is 12.

Also check out the Least Common Multiple of 93216 and 93228