What is the Greatest Common Factor of 99261 and 99279?

Greatest common factor (GCF) of 99261 and 99279 is 9.

GCF(99261,99279) = 9

We will now calculate the prime factors of 99261 and 99279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99261 and 99279.

How to find the GCF of 99261 and 99279?

We will first find the prime factorization of 99261 and 99279. After we will calculate the factors of 99261 and 99279 and find the biggest common factor number .

Step-1: Prime Factorization of 99261

Prime factors of 99261 are 3, 41, 269. Prime factorization of 99261 in exponential form is:

99261 = 3² × 41¹ × 269¹

Step-2: Prime Factorization of 99279

Prime factors of 99279 are 3, 3677. Prime factorization of 99279 in exponential form is:

99279 = 3³ × 3677¹

Step-3: Factors of 99261

List of positive integer factors of 99261 that divides 99261 without a remainder.

1, 3, 9, 41, 123, 269, 369, 807, 2421, 11029, 33087

Step-4: Factors of 99279

List of positive integer factors of 99279 that divides 99261 without a remainder.

1, 3, 9, 27, 3677, 11031, 33093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99261 and 99279. The biggest common factor number is the GCF number.
So the greatest common factor 99261 and 99279 is 9.

Also check out the Least Common Multiple of 99261 and 99279