What is the Greatest Common Factor of 18009 and 18029?

Greatest common factor (GCF) of 18009 and 18029 is 1.

GCF(18009,18029) = 1

We will now calculate the prime factors of 18009 and 18029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18009 and 18029.

How to find the GCF of 18009 and 18029?

We will first find the prime factorization of 18009 and 18029. After we will calculate the factors of 18009 and 18029 and find the biggest common factor number .

Step-1: Prime Factorization of 18009

Prime factors of 18009 are 3, 23, 29. Prime factorization of 18009 in exponential form is:

18009 = 3³ × 23¹ × 29¹

Step-2: Prime Factorization of 18029

Prime factors of 18029 are 11, 149. Prime factorization of 18029 in exponential form is:

18029 = 11² × 149¹

Step-3: Factors of 18009

List of positive integer factors of 18009 that divides 18009 without a remainder.

1, 3, 9, 23, 27, 29, 69, 87, 207, 261, 621, 667, 783, 2001, 6003

Step-4: Factors of 18029

List of positive integer factors of 18029 that divides 18009 without a remainder.

1, 11, 121, 149, 1639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18009 and 18029. The biggest common factor number is the GCF number.
So the greatest common factor 18009 and 18029 is 1.

Also check out the Least Common Multiple of 18009 and 18029