What is the Greatest Common Factor of 93225 and 93234?

Greatest common factor (GCF) of 93225 and 93234 is 3.

GCF(93225,93234) = 3

We will now calculate the prime factors of 93225 and 93234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93225 and 93234.

How to find the GCF of 93225 and 93234?

We will first find the prime factorization of 93225 and 93234. After we will calculate the factors of 93225 and 93234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93234

Prime factors of 93234 are 2, 3, 41, 379. Prime factorization of 93234 in exponential form is:

93234 = 2¹ × 3¹ × 41¹ × 379¹

Step-3: Factors of 93225

List of positive integer factors of 93225 that divides 93225 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

Step-4: Factors of 93234

List of positive integer factors of 93234 that divides 93225 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 379, 758, 1137, 2274, 15539, 31078, 46617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93225 and 93234. The biggest common factor number is the GCF number.
So the greatest common factor 93225 and 93234 is 3.

Also check out the Least Common Multiple of 93225 and 93234