What is the Greatest Common Factor of 99309 and 99315?

Greatest common factor (GCF) of 99309 and 99315 is 3.

GCF(99309,99315) = 3

We will now calculate the prime factors of 99309 and 99315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99309 and 99315.

How to find the GCF of 99309 and 99315?

We will first find the prime factorization of 99309 and 99315. After we will calculate the factors of 99309 and 99315 and find the biggest common factor number .

Step-1: Prime Factorization of 99309

Prime factors of 99309 are 3, 7, 4729. Prime factorization of 99309 in exponential form is:

99309 = 3¹ × 7¹ × 4729¹

Step-2: 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-3: Factors of 99309

List of positive integer factors of 99309 that divides 99309 without a remainder.

1, 3, 7, 21, 4729, 14187, 33103

Step-4: Factors of 99315

List of positive integer factors of 99315 that divides 99309 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99309 and 99315. The biggest common factor number is the GCF number.
So the greatest common factor 99309 and 99315 is 3.

Also check out the Least Common Multiple of 99309 and 99315