What is the Greatest Common Factor of 99549 and 99558?

Greatest common factor (GCF) of 99549 and 99558 is 9.

GCF(99549,99558) = 9

We will now calculate the prime factors of 99549 and 99558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99549 and 99558.

How to find the GCF of 99549 and 99558?

We will first find the prime factorization of 99549 and 99558. After we will calculate the factors of 99549 and 99558 and find the biggest common factor number .

Step-1: Prime Factorization of 99549

Prime factors of 99549 are 3, 1229. Prime factorization of 99549 in exponential form is:

99549 = 3⁴ × 1229¹

Step-2: Prime Factorization of 99558

Prime factors of 99558 are 2, 3, 5531. Prime factorization of 99558 in exponential form is:

99558 = 2¹ × 3² × 5531¹

Step-3: Factors of 99549

List of positive integer factors of 99549 that divides 99549 without a remainder.

1, 3, 9, 27, 81, 1229, 3687, 11061, 33183

Step-4: Factors of 99558

List of positive integer factors of 99558 that divides 99549 without a remainder.

1, 2, 3, 6, 9, 18, 5531, 11062, 16593, 33186, 49779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99549 and 99558. The biggest common factor number is the GCF number.
So the greatest common factor 99549 and 99558 is 9.

Also check out the Least Common Multiple of 99549 and 99558