What is the Greatest Common Factor of 96225 and 96234?

Greatest common factor (GCF) of 96225 and 96234 is 3.

GCF(96225,96234) = 3

We will now calculate the prime factors of 96225 and 96234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96225 and 96234.

How to find the GCF of 96225 and 96234?

We will first find the prime factorization of 96225 and 96234. After we will calculate the factors of 96225 and 96234 and find the biggest common factor number .

Step-1: Prime Factorization of 96225

Prime factors of 96225 are 3, 5, 1283. Prime factorization of 96225 in exponential form is:

96225 = 3¹ × 5² × 1283¹

Step-2: Prime Factorization of 96234

Prime factors of 96234 are 2, 3, 43, 373. Prime factorization of 96234 in exponential form is:

96234 = 2¹ × 3¹ × 43¹ × 373¹

Step-3: Factors of 96225

List of positive integer factors of 96225 that divides 96225 without a remainder.

1, 3, 5, 15, 25, 75, 1283, 3849, 6415, 19245, 32075

Step-4: Factors of 96234

List of positive integer factors of 96234 that divides 96225 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 373, 746, 1119, 2238, 16039, 32078, 48117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96225 and 96234. The biggest common factor number is the GCF number.
So the greatest common factor 96225 and 96234 is 3.

Also check out the Least Common Multiple of 96225 and 96234