What is the Greatest Common Factor of 16305 and 16315?

Greatest common factor (GCF) of 16305 and 16315 is 5.

GCF(16305,16315) = 5

We will now calculate the prime factors of 16305 and 16315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16305 and 16315.

How to find the GCF of 16305 and 16315?

We will first find the prime factorization of 16305 and 16315. After we will calculate the factors of 16305 and 16315 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 16315

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

16315 = 5¹ × 13¹ × 251¹

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 16315

List of positive integer factors of 16315 that divides 16305 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16305 and 16315. The biggest common factor number is the GCF number.
So the greatest common factor 16305 and 16315 is 5.

Also check out the Least Common Multiple of 16305 and 16315