What is the Greatest Common Factor of 18305 and 18319?

Greatest common factor (GCF) of 18305 and 18319 is 7.

GCF(18305,18319) = 7

We will now calculate the prime factors of 18305 and 18319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18305 and 18319.

How to find the GCF of 18305 and 18319?

We will first find the prime factorization of 18305 and 18319. After we will calculate the factors of 18305 and 18319 and find the biggest common factor number .

Step-1: Prime Factorization of 18305

Prime factors of 18305 are 5, 7, 523. Prime factorization of 18305 in exponential form is:

18305 = 5¹ × 7¹ × 523¹

Step-2: Prime Factorization of 18319

Prime factors of 18319 are 7, 2617. Prime factorization of 18319 in exponential form is:

18319 = 7¹ × 2617¹

Step-3: Factors of 18305

List of positive integer factors of 18305 that divides 18305 without a remainder.

1, 5, 7, 35, 523, 2615, 3661

Step-4: Factors of 18319

List of positive integer factors of 18319 that divides 18305 without a remainder.

1, 7, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18305 and 18319. The biggest common factor number is the GCF number.
So the greatest common factor 18305 and 18319 is 7.

Also check out the Least Common Multiple of 18305 and 18319