What is the Greatest Common Factor of 16315 and 16332?

Greatest common factor (GCF) of 16315 and 16332 is 1.

GCF(16315,16332) = 1

We will now calculate the prime factors of 16315 and 16332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16315 and 16332.

How to find the GCF of 16315 and 16332?

We will first find the prime factorization of 16315 and 16332. After we will calculate the factors of 16315 and 16332 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 16332

Prime factors of 16332 are 2, 3, 1361. Prime factorization of 16332 in exponential form is:

16332 = 2² × 3¹ × 1361¹

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 16332

List of positive integer factors of 16332 that divides 16315 without a remainder.

1, 2, 3, 4, 6, 12, 1361, 2722, 4083, 5444, 8166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16315 and 16332. The biggest common factor number is the GCF number.
So the greatest common factor 16315 and 16332 is 1.

Also check out the Least Common Multiple of 16315 and 16332