What is the Greatest Common Factor of 18306 and 18314?

Greatest common factor (GCF) of 18306 and 18314 is 2.

GCF(18306,18314) = 2

We will now calculate the prime factors of 18306 and 18314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18306 and 18314.

How to find the GCF of 18306 and 18314?

We will first find the prime factorization of 18306 and 18314. After we will calculate the factors of 18306 and 18314 and find the biggest common factor number .

Step-1: Prime Factorization of 18306

Prime factors of 18306 are 2, 3, 113. Prime factorization of 18306 in exponential form is:

18306 = 2¹ × 3⁴ × 113¹

Step-2: Prime Factorization of 18314

Prime factors of 18314 are 2, 9157. Prime factorization of 18314 in exponential form is:

18314 = 2¹ × 9157¹

Step-3: Factors of 18306

List of positive integer factors of 18306 that divides 18306 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 113, 162, 226, 339, 678, 1017, 2034, 3051, 6102, 9153

Step-4: Factors of 18314

List of positive integer factors of 18314 that divides 18306 without a remainder.

1, 2, 9157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18306 and 18314. The biggest common factor number is the GCF number.
So the greatest common factor 18306 and 18314 is 2.

Also check out the Least Common Multiple of 18306 and 18314