What is the Greatest Common Factor of 99117 and 99135?

Greatest common factor (GCF) of 99117 and 99135 is 9.

GCF(99117,99135) = 9

We will now calculate the prime factors of 99117 and 99135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99117 and 99135.

How to find the GCF of 99117 and 99135?

We will first find the prime factorization of 99117 and 99135. After we will calculate the factors of 99117 and 99135 and find the biggest common factor number .

Step-1: Prime Factorization of 99117

Prime factors of 99117 are 3, 3671. Prime factorization of 99117 in exponential form is:

99117 = 3³ × 3671¹

Step-2: Prime Factorization of 99135

Prime factors of 99135 are 3, 5, 2203. Prime factorization of 99135 in exponential form is:

99135 = 3² × 5¹ × 2203¹

Step-3: Factors of 99117

List of positive integer factors of 99117 that divides 99117 without a remainder.

1, 3, 9, 27, 3671, 11013, 33039

Step-4: Factors of 99135

List of positive integer factors of 99135 that divides 99117 without a remainder.

1, 3, 5, 9, 15, 45, 2203, 6609, 11015, 19827, 33045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99117 and 99135. The biggest common factor number is the GCF number.
So the greatest common factor 99117 and 99135 is 9.

Also check out the Least Common Multiple of 99117 and 99135