What is the Greatest Common Factor of 18336 and 18353?

Greatest common factor (GCF) of 18336 and 18353 is 1.

GCF(18336,18353) = 1

We will now calculate the prime factors of 18336 and 18353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18336 and 18353.

How to find the GCF of 18336 and 18353?

We will first find the prime factorization of 18336 and 18353. After we will calculate the factors of 18336 and 18353 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18353

Prime factors of 18353 are 18353. Prime factorization of 18353 in exponential form is:

18353 = 18353¹

Step-3: Factors of 18336

List of positive integer factors of 18336 that divides 18336 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

Step-4: Factors of 18353

List of positive integer factors of 18353 that divides 18336 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18336 and 18353. The biggest common factor number is the GCF number.
So the greatest common factor 18336 and 18353 is 1.

Also check out the Least Common Multiple of 18336 and 18353