What is the Greatest Common Factor of 99135 and 99150?

Greatest common factor (GCF) of 99135 and 99150 is 15.

GCF(99135,99150) = 15

We will now calculate the prime factors of 99135 and 99150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99135 and 99150.

How to find the GCF of 99135 and 99150?

We will first find the prime factorization of 99135 and 99150. After we will calculate the factors of 99135 and 99150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99150

Prime factors of 99150 are 2, 3, 5, 661. Prime factorization of 99150 in exponential form is:

99150 = 2¹ × 3¹ × 5² × 661¹

Step-3: Factors of 99135

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

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

Step-4: Factors of 99150

List of positive integer factors of 99150 that divides 99135 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 661, 1322, 1983, 3305, 3966, 6610, 9915, 16525, 19830, 33050, 49575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99135 and 99150. The biggest common factor number is the GCF number.
So the greatest common factor 99135 and 99150 is 15.

Also check out the Least Common Multiple of 99135 and 99150