What is the Greatest Common Factor of 17989 and 18009?

Greatest common factor (GCF) of 17989 and 18009 is 1.

GCF(17989,18009) = 1

We will now calculate the prime factors of 17989 and 18009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17989 and 18009.

How to find the GCF of 17989 and 18009?

We will first find the prime factorization of 17989 and 18009. After we will calculate the factors of 17989 and 18009 and find the biggest common factor number .

Step-1: Prime Factorization of 17989

Prime factors of 17989 are 17989. Prime factorization of 17989 in exponential form is:

17989 = 17989¹

Step-2: 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-3: Factors of 17989

List of positive integer factors of 17989 that divides 17989 without a remainder.

Step-4: Factors of 18009

List of positive integer factors of 18009 that divides 17989 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17989 and 18009. The biggest common factor number is the GCF number.
So the greatest common factor 17989 and 18009 is 1.

Also check out the Least Common Multiple of 17989 and 18009