What is the Greatest Common Factor of 17017 and 17031?

Greatest common factor (GCF) of 17017 and 17031 is 7.

GCF(17017,17031) = 7

We will now calculate the prime factors of 17017 and 17031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17017 and 17031.

How to find the GCF of 17017 and 17031?

We will first find the prime factorization of 17017 and 17031. After we will calculate the factors of 17017 and 17031 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 17031

Prime factors of 17031 are 3, 7, 811. Prime factorization of 17031 in exponential form is:

17031 = 3¹ × 7¹ × 811¹

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 17031

List of positive integer factors of 17031 that divides 17017 without a remainder.

1, 3, 7, 21, 811, 2433, 5677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17017 and 17031. The biggest common factor number is the GCF number.
So the greatest common factor 17017 and 17031 is 7.

Also check out the Least Common Multiple of 17017 and 17031