What is the Greatest Common Factor of 16315 and 16325?

Greatest common factor (GCF) of 16315 and 16325 is 5.

GCF(16315,16325) = 5

We will now calculate the prime factors of 16315 and 16325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16315 and 16325.

How to find the GCF of 16315 and 16325?

We will first find the prime factorization of 16315 and 16325. After we will calculate the factors of 16315 and 16325 and find the biggest common factor number .

Step-1: Prime Factorization of 16315

Prime factors of 16315 are 5, 13, 251. Prime factorization of 16315 in exponential form is:

16315 = 5¹ × 13¹ × 251¹

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 16315

List of positive integer factors of 16315 that divides 16315 without a remainder.

1, 5, 13, 65, 251, 1255, 3263

Step-4: Factors of 16325

List of positive integer factors of 16325 that divides 16315 without a remainder.

1, 5, 25, 653, 3265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16315 and 16325. The biggest common factor number is the GCF number.
So the greatest common factor 16315 and 16325 is 5.

Also check out the Least Common Multiple of 16315 and 16325