What is the Greatest Common Factor of 93216 and 93225?

Greatest common factor (GCF) of 93216 and 93225 is 3.

GCF(93216,93225) = 3

We will now calculate the prime factors of 93216 and 93225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93216 and 93225.

How to find the GCF of 93216 and 93225?

We will first find the prime factorization of 93216 and 93225. After we will calculate the factors of 93216 and 93225 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 93225

Prime factors of 93225 are 3, 5, 11, 113. Prime factorization of 93225 in exponential form is:

93225 = 3¹ × 5² × 11¹ × 113¹

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 93225

List of positive integer factors of 93225 that divides 93216 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 113, 165, 275, 339, 565, 825, 1243, 1695, 2825, 3729, 6215, 8475, 18645, 31075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93216 and 93225. The biggest common factor number is the GCF number.
So the greatest common factor 93216 and 93225 is 3.

Also check out the Least Common Multiple of 93216 and 93225