What is the Greatest Common Factor of 18336 and 18343?

Greatest common factor (GCF) of 18336 and 18343 is 1.

GCF(18336,18343) = 1

We will now calculate the prime factors of 18336 and 18343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18336 and 18343.

How to find the GCF of 18336 and 18343?

We will first find the prime factorization of 18336 and 18343. After we will calculate the factors of 18336 and 18343 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 18343

Prime factors of 18343 are 13, 17, 83. Prime factorization of 18343 in exponential form is:

18343 = 13¹ × 17¹ × 83¹

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 18343

List of positive integer factors of 18343 that divides 18336 without a remainder.

1, 13, 17, 83, 221, 1079, 1411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18336 and 18343. The biggest common factor number is the GCF number.
So the greatest common factor 18336 and 18343 is 1.

Also check out the Least Common Multiple of 18336 and 18343