What is the Greatest Common Factor of 99153 and 99165?

Greatest common factor (GCF) of 99153 and 99165 is 3.

GCF(99153,99165) = 3

We will now calculate the prime factors of 99153 and 99165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99153 and 99165.

How to find the GCF of 99153 and 99165?

We will first find the prime factorization of 99153 and 99165. After we will calculate the factors of 99153 and 99165 and find the biggest common factor number .

Step-1: Prime Factorization of 99153

Prime factors of 99153 are 3, 23, 479. Prime factorization of 99153 in exponential form is:

99153 = 3² × 23¹ × 479¹

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 99153

List of positive integer factors of 99153 that divides 99153 without a remainder.

1, 3, 9, 23, 69, 207, 479, 1437, 4311, 11017, 33051

Step-4: Factors of 99165

List of positive integer factors of 99165 that divides 99153 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 99153 and 99165. The biggest common factor number is the GCF number.
So the greatest common factor 99153 and 99165 is 3.

Also check out the Least Common Multiple of 99153 and 99165