What is the Greatest Common Factor of 18320 and 18340?

Greatest common factor (GCF) of 18320 and 18340 is 20.

GCF(18320,18340) = 20

We will now calculate the prime factors of 18320 and 18340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18320 and 18340.

How to find the GCF of 18320 and 18340?

We will first find the prime factorization of 18320 and 18340. After we will calculate the factors of 18320 and 18340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18340

Prime factors of 18340 are 2, 5, 7, 131. Prime factorization of 18340 in exponential form is:

18340 = 2² × 5¹ × 7¹ × 131¹

Step-3: Factors of 18320

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

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

Step-4: Factors of 18340

List of positive integer factors of 18340 that divides 18320 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 131, 140, 262, 524, 655, 917, 1310, 1834, 2620, 3668, 4585, 9170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18320 and 18340. The biggest common factor number is the GCF number.
So the greatest common factor 18320 and 18340 is 20.

Also check out the Least Common Multiple of 18320 and 18340