What is the Greatest Common Factor of 18310 and 18320?

Greatest common factor (GCF) of 18310 and 18320 is 10.

GCF(18310,18320) = 10

We will now calculate the prime factors of 18310 and 18320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18310 and 18320.

How to find the GCF of 18310 and 18320?

We will first find the prime factorization of 18310 and 18320. After we will calculate the factors of 18310 and 18320 and find the biggest common factor number .

Step-1: Prime Factorization of 18310

Prime factors of 18310 are 2, 5, 1831. Prime factorization of 18310 in exponential form is:

18310 = 2¹ × 5¹ × 1831¹

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 18310

List of positive integer factors of 18310 that divides 18310 without a remainder.

1, 2, 5, 10, 1831, 3662, 9155

Step-4: Factors of 18320

List of positive integer factors of 18320 that divides 18310 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 18310 and 18320. The biggest common factor number is the GCF number.
So the greatest common factor 18310 and 18320 is 10.

Also check out the Least Common Multiple of 18310 and 18320