What is the Greatest Common Factor of 18038 and 18049?

Greatest common factor (GCF) of 18038 and 18049 is 1.

GCF(18038,18049) = 1

We will now calculate the prime factors of 18038 and 18049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18038 and 18049.

How to find the GCF of 18038 and 18049?

We will first find the prime factorization of 18038 and 18049. After we will calculate the factors of 18038 and 18049 and find the biggest common factor number .

Step-1: Prime Factorization of 18038

Prime factors of 18038 are 2, 29, 311. Prime factorization of 18038 in exponential form is:

18038 = 2¹ × 29¹ × 311¹

Step-2: Prime Factorization of 18049

Prime factors of 18049 are 18049. Prime factorization of 18049 in exponential form is:

18049 = 18049¹

Step-3: Factors of 18038

List of positive integer factors of 18038 that divides 18038 without a remainder.

1, 2, 29, 58, 311, 622, 9019

Step-4: Factors of 18049

List of positive integer factors of 18049 that divides 18038 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18038 and 18049. The biggest common factor number is the GCF number.
So the greatest common factor 18038 and 18049 is 1.

Also check out the Least Common Multiple of 18038 and 18049