What is the Greatest Common Factor of 18317 and 18335?

Greatest common factor (GCF) of 18317 and 18335 is 1.

GCF(18317,18335) = 1

We will now calculate the prime factors of 18317 and 18335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18317 and 18335.

How to find the GCF of 18317 and 18335?

We will first find the prime factorization of 18317 and 18335. After we will calculate the factors of 18317 and 18335 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 18335

Prime factors of 18335 are 5, 19, 193. Prime factorization of 18335 in exponential form is:

18335 = 5¹ × 19¹ × 193¹

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 18335

List of positive integer factors of 18335 that divides 18317 without a remainder.

1, 5, 19, 95, 193, 965, 3667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18317 and 18335. The biggest common factor number is the GCF number.
So the greatest common factor 18317 and 18335 is 1.

Also check out the Least Common Multiple of 18317 and 18335