What is the Greatest Common Factor of 17000 and 17013?

Greatest common factor (GCF) of 17000 and 17013 is 1.

GCF(17000,17013) = 1

We will now calculate the prime factors of 17000 and 17013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17000 and 17013.

How to find the GCF of 17000 and 17013?

We will first find the prime factorization of 17000 and 17013. After we will calculate the factors of 17000 and 17013 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17013

Prime factors of 17013 are 3, 53, 107. Prime factorization of 17013 in exponential form is:

17013 = 3¹ × 53¹ × 107¹

Step-3: Factors of 17000

List of positive integer factors of 17000 that divides 17000 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

Step-4: Factors of 17013

List of positive integer factors of 17013 that divides 17000 without a remainder.

1, 3, 53, 107, 159, 321, 5671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17000 and 17013. The biggest common factor number is the GCF number.
So the greatest common factor 17000 and 17013 is 1.

Also check out the Least Common Multiple of 17000 and 17013