What is the Greatest Common Factor of 18317 and 18330?

Greatest common factor (GCF) of 18317 and 18330 is 13.

GCF(18317,18330) = 13

We will now calculate the prime factors of 18317 and 18330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18317 and 18330.

How to find the GCF of 18317 and 18330?

We will first find the prime factorization of 18317 and 18330. After we will calculate the factors of 18317 and 18330 and find the biggest common factor number .

Step-1: Prime Factorization of 18317

Prime factors of 18317 are 13, 1409. Prime factorization of 18317 in exponential form is:

18317 = 13¹ × 1409¹

Step-2: Prime Factorization of 18330

Prime factors of 18330 are 2, 3, 5, 13, 47. Prime factorization of 18330 in exponential form is:

18330 = 2¹ × 3¹ × 5¹ × 13¹ × 47¹

Step-3: Factors of 18317

List of positive integer factors of 18317 that divides 18317 without a remainder.

1, 13, 1409

Step-4: Factors of 18330

List of positive integer factors of 18330 that divides 18317 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 47, 65, 78, 94, 130, 141, 195, 235, 282, 390, 470, 611, 705, 1222, 1410, 1833, 3055, 3666, 6110, 9165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18317 and 18330. The biggest common factor number is the GCF number.
So the greatest common factor 18317 and 18330 is 13.

Also check out the Least Common Multiple of 18317 and 18330