What is the Greatest Common Factor of 18032 and 18038?

Greatest common factor (GCF) of 18032 and 18038 is 2.

GCF(18032,18038) = 2

We will now calculate the prime factors of 18032 and 18038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18032 and 18038.

How to find the GCF of 18032 and 18038?

We will first find the prime factorization of 18032 and 18038. After we will calculate the factors of 18032 and 18038 and find the biggest common factor number .

Step-1: Prime Factorization of 18032

Prime factors of 18032 are 2, 7, 23. Prime factorization of 18032 in exponential form is:

18032 = 2⁴ × 7² × 23¹

Step-2: 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-3: Factors of 18032

List of positive integer factors of 18032 that divides 18032 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 49, 56, 92, 98, 112, 161, 184, 196, 322, 368, 392, 644, 784, 1127, 1288, 2254, 2576, 4508, 9016

Step-4: Factors of 18038

List of positive integer factors of 18038 that divides 18032 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18032 and 18038. The biggest common factor number is the GCF number.
So the greatest common factor 18032 and 18038 is 2.

Also check out the Least Common Multiple of 18032 and 18038