What is the Greatest Common Factor of 17065 and 17071?

Greatest common factor (GCF) of 17065 and 17071 is 1.

GCF(17065,17071) = 1

We will now calculate the prime factors of 17065 and 17071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17065 and 17071.

How to find the GCF of 17065 and 17071?

We will first find the prime factorization of 17065 and 17071. After we will calculate the factors of 17065 and 17071 and find the biggest common factor number .

Step-1: Prime Factorization of 17065

Prime factors of 17065 are 5, 3413. Prime factorization of 17065 in exponential form is:

17065 = 5¹ × 3413¹

Step-2: Prime Factorization of 17071

Prime factors of 17071 are 43, 397. Prime factorization of 17071 in exponential form is:

17071 = 43¹ × 397¹

Step-3: Factors of 17065

List of positive integer factors of 17065 that divides 17065 without a remainder.

1, 5, 3413

Step-4: Factors of 17071

List of positive integer factors of 17071 that divides 17065 without a remainder.

1, 43, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17065 and 17071. The biggest common factor number is the GCF number.
So the greatest common factor 17065 and 17071 is 1.

Also check out the Least Common Multiple of 17065 and 17071