What is the Greatest Common Factor of 99459 and 99471?

Greatest common factor (GCF) of 99459 and 99471 is 3.

GCF(99459,99471) = 3

We will now calculate the prime factors of 99459 and 99471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99459 and 99471.

How to find the GCF of 99459 and 99471?

We will first find the prime factorization of 99459 and 99471. After we will calculate the factors of 99459 and 99471 and find the biggest common factor number .

Step-1: Prime Factorization of 99459

Prime factors of 99459 are 3, 43, 257. Prime factorization of 99459 in exponential form is:

99459 = 3² × 43¹ × 257¹

Step-2: Prime Factorization of 99471

Prime factors of 99471 are 3, 71, 467. Prime factorization of 99471 in exponential form is:

99471 = 3¹ × 71¹ × 467¹

Step-3: Factors of 99459

List of positive integer factors of 99459 that divides 99459 without a remainder.

1, 3, 9, 43, 129, 257, 387, 771, 2313, 11051, 33153

Step-4: Factors of 99471

List of positive integer factors of 99471 that divides 99459 without a remainder.

1, 3, 71, 213, 467, 1401, 33157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99459 and 99471. The biggest common factor number is the GCF number.
So the greatest common factor 99459 and 99471 is 3.

Also check out the Least Common Multiple of 99459 and 99471