What is the Greatest Common Factor of 23325 and 23329?

Greatest common factor (GCF) of 23325 and 23329 is 1.

GCF(23325,23329) = 1

We will now calculate the prime factors of 23325 and 23329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23325 and 23329.

How to find the GCF of 23325 and 23329?

We will first find the prime factorization of 23325 and 23329. After we will calculate the factors of 23325 and 23329 and find the biggest common factor number .

Step-1: Prime Factorization of 23325

Prime factors of 23325 are 3, 5, 311. Prime factorization of 23325 in exponential form is:

23325 = 3¹ × 5² × 311¹

Step-2: Prime Factorization of 23329

Prime factors of 23329 are 41, 569. Prime factorization of 23329 in exponential form is:

23329 = 41¹ × 569¹

Step-3: Factors of 23325

List of positive integer factors of 23325 that divides 23325 without a remainder.

1, 3, 5, 15, 25, 75, 311, 933, 1555, 4665, 7775

Step-4: Factors of 23329

List of positive integer factors of 23329 that divides 23325 without a remainder.

1, 41, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23325 and 23329. The biggest common factor number is the GCF number.
So the greatest common factor 23325 and 23329 is 1.

Also check out the Least Common Multiple of 23325 and 23329