What is the Greatest Common Factor of 96225 and 96237?

Greatest common factor (GCF) of 96225 and 96237 is 3.

GCF(96225,96237) = 3

We will now calculate the prime factors of 96225 and 96237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96225 and 96237.

How to find the GCF of 96225 and 96237?

We will first find the prime factorization of 96225 and 96237. After we will calculate the factors of 96225 and 96237 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 96237

Prime factors of 96237 are 3, 17, 37. Prime factorization of 96237 in exponential form is:

96237 = 3² × 17² × 37¹

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 96237

List of positive integer factors of 96237 that divides 96225 without a remainder.

1, 3, 9, 17, 37, 51, 111, 153, 289, 333, 629, 867, 1887, 2601, 5661, 10693, 32079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96225 and 96237. The biggest common factor number is the GCF number.
So the greatest common factor 96225 and 96237 is 3.

Also check out the Least Common Multiple of 96225 and 96237