What is the Greatest Common Factor of 99165 and 99185?

Greatest common factor (GCF) of 99165 and 99185 is 5.

GCF(99165,99185) = 5

We will now calculate the prime factors of 99165 and 99185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99165 and 99185.

How to find the GCF of 99165 and 99185?

We will first find the prime factorization of 99165 and 99185. After we will calculate the factors of 99165 and 99185 and find the biggest common factor number .

Step-1: Prime Factorization of 99165

Prime factors of 99165 are 3, 5, 11, 601. Prime factorization of 99165 in exponential form is:

99165 = 3¹ × 5¹ × 11¹ × 601¹

Step-2: Prime Factorization of 99185

Prime factors of 99185 are 5, 83, 239. Prime factorization of 99185 in exponential form is:

99185 = 5¹ × 83¹ × 239¹

Step-3: Factors of 99165

List of positive integer factors of 99165 that divides 99165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 601, 1803, 3005, 6611, 9015, 19833, 33055

Step-4: Factors of 99185

List of positive integer factors of 99185 that divides 99165 without a remainder.

1, 5, 83, 239, 415, 1195, 19837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99165 and 99185. The biggest common factor number is the GCF number.
So the greatest common factor 99165 and 99185 is 5.

Also check out the Least Common Multiple of 99165 and 99185