What is the Greatest Common Factor of 18038 and 18056?

Greatest common factor (GCF) of 18038 and 18056 is 2.

GCF(18038,18056) = 2

We will now calculate the prime factors of 18038 and 18056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18038 and 18056.

How to find the GCF of 18038 and 18056?

We will first find the prime factorization of 18038 and 18056. After we will calculate the factors of 18038 and 18056 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 18056

Prime factors of 18056 are 2, 37, 61. Prime factorization of 18056 in exponential form is:

18056 = 2³ × 37¹ × 61¹

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 18056

List of positive integer factors of 18056 that divides 18038 without a remainder.

1, 2, 4, 8, 37, 61, 74, 122, 148, 244, 296, 488, 2257, 4514, 9028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18038 and 18056. The biggest common factor number is the GCF number.
So the greatest common factor 18038 and 18056 is 2.

Also check out the Least Common Multiple of 18038 and 18056