What is the Greatest Common Factor of 18326 and 18343?

Greatest common factor (GCF) of 18326 and 18343 is 17.

GCF(18326,18343) = 17

We will now calculate the prime factors of 18326 and 18343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18326 and 18343.

How to find the GCF of 18326 and 18343?

We will first find the prime factorization of 18326 and 18343. After we will calculate the factors of 18326 and 18343 and find the biggest common factor number .

Step-1: Prime Factorization of 18326

Prime factors of 18326 are 2, 7, 11, 17. Prime factorization of 18326 in exponential form is:

18326 = 2¹ × 7² × 11¹ × 17¹

Step-2: Prime Factorization of 18343

Prime factors of 18343 are 13, 17, 83. Prime factorization of 18343 in exponential form is:

18343 = 13¹ × 17¹ × 83¹

Step-3: Factors of 18326

List of positive integer factors of 18326 that divides 18326 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 49, 77, 98, 119, 154, 187, 238, 374, 539, 833, 1078, 1309, 1666, 2618, 9163

Step-4: Factors of 18343

List of positive integer factors of 18343 that divides 18326 without a remainder.

1, 13, 17, 83, 221, 1079, 1411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18326 and 18343. The biggest common factor number is the GCF number.
So the greatest common factor 18326 and 18343 is 17.

Also check out the Least Common Multiple of 18326 and 18343