What is the Greatest Common Factor of 18314 and 18320?

Greatest common factor (GCF) of 18314 and 18320 is 2.

GCF(18314,18320) = 2

We will now calculate the prime factors of 18314 and 18320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18314 and 18320.

How to find the GCF of 18314 and 18320?

We will first find the prime factorization of 18314 and 18320. After we will calculate the factors of 18314 and 18320 and find the biggest common factor number .

Step-1: Prime Factorization of 18314

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

18314 = 2¹ × 9157¹

Step-2: Prime Factorization of 18320

Prime factors of 18320 are 2, 5, 229. Prime factorization of 18320 in exponential form is:

18320 = 2⁴ × 5¹ × 229¹

Step-3: Factors of 18314

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

1, 2, 9157

Step-4: Factors of 18320

List of positive integer factors of 18320 that divides 18314 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 229, 458, 916, 1145, 1832, 2290, 3664, 4580, 9160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18314 and 18320. The biggest common factor number is the GCF number.
So the greatest common factor 18314 and 18320 is 2.

Also check out the Least Common Multiple of 18314 and 18320