What is the Greatest Common Factor of 16695 and 16715?

Greatest common factor (GCF) of 16695 and 16715 is 5.

GCF(16695,16715) = 5

We will now calculate the prime factors of 16695 and 16715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16695 and 16715.

How to find the GCF of 16695 and 16715?

We will first find the prime factorization of 16695 and 16715. After we will calculate the factors of 16695 and 16715 and find the biggest common factor number .

Step-1: Prime Factorization of 16695

Prime factors of 16695 are 3, 5, 7, 53. Prime factorization of 16695 in exponential form is:

16695 = 3² × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 16715

Prime factors of 16715 are 5, 3343. Prime factorization of 16715 in exponential form is:

16715 = 5¹ × 3343¹

Step-3: Factors of 16695

List of positive integer factors of 16695 that divides 16695 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 53, 63, 105, 159, 265, 315, 371, 477, 795, 1113, 1855, 2385, 3339, 5565

Step-4: Factors of 16715

List of positive integer factors of 16715 that divides 16695 without a remainder.

1, 5, 3343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16695 and 16715. The biggest common factor number is the GCF number.
So the greatest common factor 16695 and 16715 is 5.

Also check out the Least Common Multiple of 16695 and 16715