What is the Greatest Common Factor of 16985 and 17000?

Greatest common factor (GCF) of 16985 and 17000 is 5.

GCF(16985,17000) = 5

We will now calculate the prime factors of 16985 and 17000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16985 and 17000.

How to find the GCF of 16985 and 17000?

We will first find the prime factorization of 16985 and 17000. After we will calculate the factors of 16985 and 17000 and find the biggest common factor number .

Step-1: Prime Factorization of 16985

Prime factors of 16985 are 5, 43, 79. Prime factorization of 16985 in exponential form is:

16985 = 5¹ × 43¹ × 79¹

Step-2: Prime Factorization of 17000

Prime factors of 17000 are 2, 5, 17. Prime factorization of 17000 in exponential form is:

17000 = 2³ × 5³ × 17¹

Step-3: Factors of 16985

List of positive integer factors of 16985 that divides 16985 without a remainder.

1, 5, 43, 79, 215, 395, 3397

Step-4: Factors of 17000

List of positive integer factors of 17000 that divides 16985 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 125, 136, 170, 200, 250, 340, 425, 500, 680, 850, 1000, 1700, 2125, 3400, 4250, 8500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16985 and 17000. The biggest common factor number is the GCF number.
So the greatest common factor 16985 and 17000 is 5.

Also check out the Least Common Multiple of 16985 and 17000