What is the Greatest Common Factor of 18029 and 18044?

Greatest common factor (GCF) of 18029 and 18044 is 1.

GCF(18029,18044) = 1

We will now calculate the prime factors of 18029 and 18044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18029 and 18044.

How to find the GCF of 18029 and 18044?

We will first find the prime factorization of 18029 and 18044. After we will calculate the factors of 18029 and 18044 and find the biggest common factor number .

Step-1: Prime Factorization of 18029

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

18029 = 11² × 149¹

Step-2: Prime Factorization of 18044

Prime factors of 18044 are 2, 13, 347. Prime factorization of 18044 in exponential form is:

18044 = 2² × 13¹ × 347¹

Step-3: Factors of 18029

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

1, 11, 121, 149, 1639

Step-4: Factors of 18044

List of positive integer factors of 18044 that divides 18029 without a remainder.

1, 2, 4, 13, 26, 52, 347, 694, 1388, 4511, 9022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18029 and 18044. The biggest common factor number is the GCF number.
So the greatest common factor 18029 and 18044 is 1.

Also check out the Least Common Multiple of 18029 and 18044