What is the Greatest Common Factor of 16305 and 16325?

Greatest common factor (GCF) of 16305 and 16325 is 5.

GCF(16305,16325) = 5

We will now calculate the prime factors of 16305 and 16325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16305 and 16325.

How to find the GCF of 16305 and 16325?

We will first find the prime factorization of 16305 and 16325. After we will calculate the factors of 16305 and 16325 and find the biggest common factor number .

Step-1: Prime Factorization of 16305

Prime factors of 16305 are 3, 5, 1087. Prime factorization of 16305 in exponential form is:

16305 = 3¹ × 5¹ × 1087¹

Step-2: Prime Factorization of 16325

Prime factors of 16325 are 5, 653. Prime factorization of 16325 in exponential form is:

16325 = 5² × 653¹

Step-3: Factors of 16305

List of positive integer factors of 16305 that divides 16305 without a remainder.

1, 3, 5, 15, 1087, 3261, 5435

Step-4: Factors of 16325

List of positive integer factors of 16325 that divides 16305 without a remainder.

1, 5, 25, 653, 3265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16305 and 16325. The biggest common factor number is the GCF number.
So the greatest common factor 16305 and 16325 is 5.

Also check out the Least Common Multiple of 16305 and 16325