What is the Greatest Common Factor of 99115 and 99135?

Greatest common factor (GCF) of 99115 and 99135 is 5.

GCF(99115,99135) = 5

We will now calculate the prime factors of 99115 and 99135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99115 and 99135.

How to find the GCF of 99115 and 99135?

We will first find the prime factorization of 99115 and 99135. After we will calculate the factors of 99115 and 99135 and find the biggest common factor number .

Step-1: Prime Factorization of 99115

Prime factors of 99115 are 5, 43, 461. Prime factorization of 99115 in exponential form is:

99115 = 5¹ × 43¹ × 461¹

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 99115

List of positive integer factors of 99115 that divides 99115 without a remainder.

1, 5, 43, 215, 461, 2305, 19823

Step-4: Factors of 99135

List of positive integer factors of 99135 that divides 99115 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 99115 and 99135. The biggest common factor number is the GCF number.
So the greatest common factor 99115 and 99135 is 5.

Also check out the Least Common Multiple of 99115 and 99135