What is the Greatest Common Factor of 18014 and 18032?

Greatest common factor (GCF) of 18014 and 18032 is 2.

GCF(18014,18032) = 2

We will now calculate the prime factors of 18014 and 18032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18014 and 18032.

How to find the GCF of 18014 and 18032?

We will first find the prime factorization of 18014 and 18032. After we will calculate the factors of 18014 and 18032 and find the biggest common factor number .

Step-1: Prime Factorization of 18014

Prime factors of 18014 are 2, 9007. Prime factorization of 18014 in exponential form is:

18014 = 2¹ × 9007¹

Step-2: 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-3: Factors of 18014

List of positive integer factors of 18014 that divides 18014 without a remainder.

1, 2, 9007

Step-4: Factors of 18032

List of positive integer factors of 18032 that divides 18014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18014 and 18032. The biggest common factor number is the GCF number.
So the greatest common factor 18014 and 18032 is 2.

Also check out the Least Common Multiple of 18014 and 18032