What is the Greatest Common Factor of 17069 and 17089?

Greatest common factor (GCF) of 17069 and 17089 is 1.

GCF(17069,17089) = 1

We will now calculate the prime factors of 17069 and 17089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17069 and 17089.

How to find the GCF of 17069 and 17089?

We will first find the prime factorization of 17069 and 17089. After we will calculate the factors of 17069 and 17089 and find the biggest common factor number .

Step-1: Prime Factorization of 17069

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

17069 = 13² × 101¹

Step-2: Prime Factorization of 17089

Prime factors of 17089 are 23, 743. Prime factorization of 17089 in exponential form is:

17089 = 23¹ × 743¹

Step-3: Factors of 17069

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

1, 13, 101, 169, 1313

Step-4: Factors of 17089

List of positive integer factors of 17089 that divides 17069 without a remainder.

1, 23, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17069 and 17089. The biggest common factor number is the GCF number.
So the greatest common factor 17069 and 17089 is 1.

Also check out the Least Common Multiple of 17069 and 17089