What is the Greatest Common Factor of 18029 and 18037?

Greatest common factor (GCF) of 18029 and 18037 is 1.

GCF(18029,18037) = 1

We will now calculate the prime factors of 18029 and 18037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18029 and 18037.

How to find the GCF of 18029 and 18037?

We will first find the prime factorization of 18029 and 18037. After we will calculate the factors of 18029 and 18037 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 18037

Prime factors of 18037 are 17, 1061. Prime factorization of 18037 in exponential form is:

18037 = 17¹ × 1061¹

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 18037

List of positive integer factors of 18037 that divides 18029 without a remainder.

1, 17, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18029 and 18037. The biggest common factor number is the GCF number.
So the greatest common factor 18029 and 18037 is 1.

Also check out the Least Common Multiple of 18029 and 18037