What is the Greatest Common Factor of 99147 and 99165?

Greatest common factor (GCF) of 99147 and 99165 is 3.

GCF(99147,99165) = 3

We will now calculate the prime factors of 99147 and 99165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99147 and 99165.

How to find the GCF of 99147 and 99165?

We will first find the prime factorization of 99147 and 99165. After we will calculate the factors of 99147 and 99165 and find the biggest common factor number .

Step-1: Prime Factorization of 99147

Prime factors of 99147 are 3, 33049. Prime factorization of 99147 in exponential form is:

99147 = 3¹ × 33049¹

Step-2: 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-3: Factors of 99147

List of positive integer factors of 99147 that divides 99147 without a remainder.

1, 3, 33049

Step-4: Factors of 99165

List of positive integer factors of 99165 that divides 99147 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99147 and 99165. The biggest common factor number is the GCF number.
So the greatest common factor 99147 and 99165 is 3.

Also check out the Least Common Multiple of 99147 and 99165