What is the Greatest Common Factor of 18345 and 18363?

Greatest common factor (GCF) of 18345 and 18363 is 3.

GCF(18345,18363) = 3

We will now calculate the prime factors of 18345 and 18363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18345 and 18363.

How to find the GCF of 18345 and 18363?

We will first find the prime factorization of 18345 and 18363. After we will calculate the factors of 18345 and 18363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18363

Prime factors of 18363 are 3, 6121. Prime factorization of 18363 in exponential form is:

18363 = 3¹ × 6121¹

Step-3: Factors of 18345

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

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

Step-4: Factors of 18363

List of positive integer factors of 18363 that divides 18345 without a remainder.

1, 3, 6121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18345 and 18363. The biggest common factor number is the GCF number.
So the greatest common factor 18345 and 18363 is 3.

Also check out the Least Common Multiple of 18345 and 18363