What is the Greatest Common Factor of 16395 and 16415?

Greatest common factor (GCF) of 16395 and 16415 is 5.

GCF(16395,16415) = 5

We will now calculate the prime factors of 16395 and 16415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16395 and 16415.

How to find the GCF of 16395 and 16415?

We will first find the prime factorization of 16395 and 16415. After we will calculate the factors of 16395 and 16415 and find the biggest common factor number .

Step-1: Prime Factorization of 16395

Prime factors of 16395 are 3, 5, 1093. Prime factorization of 16395 in exponential form is:

16395 = 3¹ × 5¹ × 1093¹

Step-2: Prime Factorization of 16415

Prime factors of 16415 are 5, 7, 67. Prime factorization of 16415 in exponential form is:

16415 = 5¹ × 7² × 67¹

Step-3: Factors of 16395

List of positive integer factors of 16395 that divides 16395 without a remainder.

1, 3, 5, 15, 1093, 3279, 5465

Step-4: Factors of 16415

List of positive integer factors of 16415 that divides 16395 without a remainder.

1, 5, 7, 35, 49, 67, 245, 335, 469, 2345, 3283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16395 and 16415. The biggest common factor number is the GCF number.
So the greatest common factor 16395 and 16415 is 5.

Also check out the Least Common Multiple of 16395 and 16415