What is the Greatest Common Factor of 99315 and 99325?

Greatest common factor (GCF) of 99315 and 99325 is 5.

GCF(99315,99325) = 5

We will now calculate the prime factors of 99315 and 99325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99315 and 99325.

How to find the GCF of 99315 and 99325?

We will first find the prime factorization of 99315 and 99325. After we will calculate the factors of 99315 and 99325 and find the biggest common factor number .

Step-1: Prime Factorization of 99315

Prime factors of 99315 are 3, 5, 2207. Prime factorization of 99315 in exponential form is:

99315 = 3² × 5¹ × 2207¹

Step-2: Prime Factorization of 99325

Prime factors of 99325 are 5, 29, 137. Prime factorization of 99325 in exponential form is:

99325 = 5² × 29¹ × 137¹

Step-3: Factors of 99315

List of positive integer factors of 99315 that divides 99315 without a remainder.

1, 3, 5, 9, 15, 45, 2207, 6621, 11035, 19863, 33105

Step-4: Factors of 99325

List of positive integer factors of 99325 that divides 99315 without a remainder.

1, 5, 25, 29, 137, 145, 685, 725, 3425, 3973, 19865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99315 and 99325. The biggest common factor number is the GCF number.
So the greatest common factor 99315 and 99325 is 5.

Also check out the Least Common Multiple of 99315 and 99325