What is the Greatest Common Factor of 18345 and 18357?

Greatest common factor (GCF) of 18345 and 18357 is 3.

GCF(18345,18357) = 3

We will now calculate the prime factors of 18345 and 18357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18345 and 18357.

How to find the GCF of 18345 and 18357?

We will first find the prime factorization of 18345 and 18357. After we will calculate the factors of 18345 and 18357 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 18357

Prime factors of 18357 are 3, 29, 211. Prime factorization of 18357 in exponential form is:

18357 = 3¹ × 29¹ × 211¹

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 18357

List of positive integer factors of 18357 that divides 18345 without a remainder.

1, 3, 29, 87, 211, 633, 6119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18345 and 18357. The biggest common factor number is the GCF number.
So the greatest common factor 18345 and 18357 is 3.

Also check out the Least Common Multiple of 18345 and 18357