What is the Greatest Common Factor of 18336 and 18345?

Greatest common factor (GCF) of 18336 and 18345 is 3.

GCF(18336,18345) = 3

We will now calculate the prime factors of 18336 and 18345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18336 and 18345.

How to find the GCF of 18336 and 18345?

We will first find the prime factorization of 18336 and 18345. After we will calculate the factors of 18336 and 18345 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 18345

Prime factors of 18345 are 3, 5, 1223. Prime factorization of 18345 in exponential form is:

18345 = 3¹ × 5¹ × 1223¹

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 18345

List of positive integer factors of 18345 that divides 18336 without a remainder.

1, 3, 5, 15, 1223, 3669, 6115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18336 and 18345. The biggest common factor number is the GCF number.
So the greatest common factor 18336 and 18345 is 3.

Also check out the Least Common Multiple of 18336 and 18345