What is the Greatest Common Factor of 16695 and 16700?

Greatest common factor (GCF) of 16695 and 16700 is 5.

GCF(16695,16700) = 5

We will now calculate the prime factors of 16695 and 16700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16695 and 16700.

How to find the GCF of 16695 and 16700?

We will first find the prime factorization of 16695 and 16700. After we will calculate the factors of 16695 and 16700 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 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 2² × 5² × 167¹

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 16700

List of positive integer factors of 16700 that divides 16695 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 167, 334, 668, 835, 1670, 3340, 4175, 8350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16695 and 16700. The biggest common factor number is the GCF number.
So the greatest common factor 16695 and 16700 is 5.

Also check out the Least Common Multiple of 16695 and 16700