What is the Greatest Common Factor of 99459 and 99468?

Greatest common factor (GCF) of 99459 and 99468 is 9.

GCF(99459,99468) = 9

We will now calculate the prime factors of 99459 and 99468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99459 and 99468.

How to find the GCF of 99459 and 99468?

We will first find the prime factorization of 99459 and 99468. After we will calculate the factors of 99459 and 99468 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 99468

Prime factors of 99468 are 2, 3, 307. Prime factorization of 99468 in exponential form is:

99468 = 2² × 3⁴ × 307¹

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 99468

List of positive integer factors of 99468 that divides 99459 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 307, 324, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578, 24867, 33156, 49734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99459 and 99468. The biggest common factor number is the GCF number.
So the greatest common factor 99459 and 99468 is 9.

Also check out the Least Common Multiple of 99459 and 99468