What is the Greatest Common Factor of 18357 and 18369?

Greatest common factor (GCF) of 18357 and 18369 is 3.

GCF(18357,18369) = 3

We will now calculate the prime factors of 18357 and 18369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18357 and 18369.

How to find the GCF of 18357 and 18369?

We will first find the prime factorization of 18357 and 18369. After we will calculate the factors of 18357 and 18369 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18369

Prime factors of 18369 are 3, 13, 157. Prime factorization of 18369 in exponential form is:

18369 = 3² × 13¹ × 157¹

Step-3: Factors of 18357

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

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

Step-4: Factors of 18369

List of positive integer factors of 18369 that divides 18357 without a remainder.

1, 3, 9, 13, 39, 117, 157, 471, 1413, 2041, 6123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18357 and 18369. The biggest common factor number is the GCF number.
So the greatest common factor 18357 and 18369 is 3.

Also check out the Least Common Multiple of 18357 and 18369