What is the Greatest Common Factor of 18320 and 18336?

Greatest common factor (GCF) of 18320 and 18336 is 16.

GCF(18320,18336) = 16

We will now calculate the prime factors of 18320 and 18336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18320 and 18336.

How to find the GCF of 18320 and 18336?

We will first find the prime factorization of 18320 and 18336. After we will calculate the factors of 18320 and 18336 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 18336

Prime factors of 18336 are 2, 3, 191. Prime factorization of 18336 in exponential form is:

18336 = 2⁵ × 3¹ × 191¹

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 18336

List of positive integer factors of 18336 that divides 18320 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18320 and 18336. The biggest common factor number is the GCF number.
So the greatest common factor 18320 and 18336 is 16.

Also check out the Least Common Multiple of 18320 and 18336