What is the Greatest Common Factor of 18382 and 18389?

Greatest common factor (GCF) of 18382 and 18389 is 7.

GCF(18382,18389) = 7

We will now calculate the prime factors of 18382 and 18389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18382 and 18389.

How to find the GCF of 18382 and 18389?

We will first find the prime factorization of 18382 and 18389. After we will calculate the factors of 18382 and 18389 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18389

Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:

18389 = 7¹ × 37¹ × 71¹

Step-3: Factors of 18382

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

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

Step-4: Factors of 18389

List of positive integer factors of 18389 that divides 18382 without a remainder.

1, 7, 37, 71, 259, 497, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18382 and 18389. The biggest common factor number is the GCF number.
So the greatest common factor 18382 and 18389 is 7.

Also check out the Least Common Multiple of 18382 and 18389