What is the Greatest Common Factor of 17065 and 17069?

Greatest common factor (GCF) of 17065 and 17069 is 1.

GCF(17065,17069) = 1

We will now calculate the prime factors of 17065 and 17069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17065 and 17069.

How to find the GCF of 17065 and 17069?

We will first find the prime factorization of 17065 and 17069. After we will calculate the factors of 17065 and 17069 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 17069

Prime factors of 17069 are 13, 101. Prime factorization of 17069 in exponential form is:

17069 = 13² × 101¹

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 17069

List of positive integer factors of 17069 that divides 17065 without a remainder.

1, 13, 101, 169, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17065 and 17069. The biggest common factor number is the GCF number.
So the greatest common factor 17065 and 17069 is 1.

Also check out the Least Common Multiple of 17065 and 17069