What is the Greatest Common Factor of 99009 and 99018?

Greatest common factor (GCF) of 99009 and 99018 is 9.

GCF(99009,99018) = 9

We will now calculate the prime factors of 99009 and 99018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99009 and 99018.

How to find the GCF of 99009 and 99018?

We will first find the prime factorization of 99009 and 99018. After we will calculate the factors of 99009 and 99018 and find the biggest common factor number .

Step-1: Prime Factorization of 99009

Prime factors of 99009 are 3, 19, 193. Prime factorization of 99009 in exponential form is:

99009 = 3³ × 19¹ × 193¹

Step-2: Prime Factorization of 99018

Prime factors of 99018 are 2, 3, 5501. Prime factorization of 99018 in exponential form is:

99018 = 2¹ × 3² × 5501¹

Step-3: Factors of 99009

List of positive integer factors of 99009 that divides 99009 without a remainder.

1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003

Step-4: Factors of 99018

List of positive integer factors of 99018 that divides 99009 without a remainder.

1, 2, 3, 6, 9, 18, 5501, 11002, 16503, 33006, 49509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99009 and 99018. The biggest common factor number is the GCF number.
So the greatest common factor 99009 and 99018 is 9.

Also check out the Least Common Multiple of 99009 and 99018