What is the Greatest Common Factor of 17017 and 17034?

Greatest common factor (GCF) of 17017 and 17034 is 17.

GCF(17017,17034) = 17

We will now calculate the prime factors of 17017 and 17034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17017 and 17034.

How to find the GCF of 17017 and 17034?

We will first find the prime factorization of 17017 and 17034. After we will calculate the factors of 17017 and 17034 and find the biggest common factor number .

Step-1: Prime Factorization of 17017

Prime factors of 17017 are 7, 11, 13, 17. Prime factorization of 17017 in exponential form is:

17017 = 7¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 17034

Prime factors of 17034 are 2, 3, 17, 167. Prime factorization of 17034 in exponential form is:

17034 = 2¹ × 3¹ × 17¹ × 167¹

Step-3: Factors of 17017

List of positive integer factors of 17017 that divides 17017 without a remainder.

1, 7, 11, 13, 17, 77, 91, 119, 143, 187, 221, 1001, 1309, 1547, 2431

Step-4: Factors of 17034

List of positive integer factors of 17034 that divides 17017 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 167, 334, 501, 1002, 2839, 5678, 8517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17017 and 17034. The biggest common factor number is the GCF number.
So the greatest common factor 17017 and 17034 is 17.

Also check out the Least Common Multiple of 17017 and 17034