What is the Greatest Common Factor of 18357 and 18372?

Greatest common factor (GCF) of 18357 and 18372 is 3.

GCF(18357,18372) = 3

We will now calculate the prime factors of 18357 and 18372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18357 and 18372.

How to find the GCF of 18357 and 18372?

We will first find the prime factorization of 18357 and 18372. After we will calculate the factors of 18357 and 18372 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 18372

Prime factors of 18372 are 2, 3, 1531. Prime factorization of 18372 in exponential form is:

18372 = 2² × 3¹ × 1531¹

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 18372

List of positive integer factors of 18372 that divides 18357 without a remainder.

1, 2, 3, 4, 6, 12, 1531, 3062, 4593, 6124, 9186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18357 and 18372. The biggest common factor number is the GCF number.
So the greatest common factor 18357 and 18372 is 3.

Also check out the Least Common Multiple of 18357 and 18372