What is the Greatest Common Factor of 18369 and 18382?

Greatest common factor (GCF) of 18369 and 18382 is 13.

GCF(18369,18382) = 13

We will now calculate the prime factors of 18369 and 18382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18369 and 18382.

How to find the GCF of 18369 and 18382?

We will first find the prime factorization of 18369 and 18382. After we will calculate the factors of 18369 and 18382 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18382

Prime factors of 18382 are 2, 7, 13, 101. Prime factorization of 18382 in exponential form is:

18382 = 2¹ × 7¹ × 13¹ × 101¹

Step-3: Factors of 18369

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

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

Step-4: Factors of 18382

List of positive integer factors of 18382 that divides 18369 without a remainder.

1, 2, 7, 13, 14, 26, 91, 101, 182, 202, 707, 1313, 1414, 2626, 9191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18369 and 18382. The biggest common factor number is the GCF number.
So the greatest common factor 18369 and 18382 is 13.

Also check out the Least Common Multiple of 18369 and 18382