What is the Greatest Common Factor of 18017 and 18029?

Greatest common factor (GCF) of 18017 and 18029 is 1.

GCF(18017,18029) = 1

We will now calculate the prime factors of 18017 and 18029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18017 and 18029.

How to find the GCF of 18017 and 18029?

We will first find the prime factorization of 18017 and 18029. After we will calculate the factors of 18017 and 18029 and find the biggest common factor number .

Step-1: Prime Factorization of 18017

Prime factors of 18017 are 43, 419. Prime factorization of 18017 in exponential form is:

18017 = 43¹ × 419¹

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 18017

List of positive integer factors of 18017 that divides 18017 without a remainder.

1, 43, 419

Step-4: Factors of 18029

List of positive integer factors of 18029 that divides 18017 without a remainder.

1, 11, 121, 149, 1639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18017 and 18029. The biggest common factor number is the GCF number.
So the greatest common factor 18017 and 18029 is 1.

Also check out the Least Common Multiple of 18017 and 18029