What is the Greatest Common Factor of 18014 and 18034?

Greatest common factor (GCF) of 18014 and 18034 is 2.

GCF(18014,18034) = 2

We will now calculate the prime factors of 18014 and 18034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18014 and 18034.

How to find the GCF of 18014 and 18034?

We will first find the prime factorization of 18014 and 18034. After we will calculate the factors of 18014 and 18034 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 18034

Prime factors of 18034 are 2, 71, 127. Prime factorization of 18034 in exponential form is:

18034 = 2¹ × 71¹ × 127¹

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 18034

List of positive integer factors of 18034 that divides 18014 without a remainder.

1, 2, 71, 127, 142, 254, 9017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18014 and 18034. The biggest common factor number is the GCF number.
So the greatest common factor 18014 and 18034 is 2.

Also check out the Least Common Multiple of 18014 and 18034