What is the Greatest Common Factor of 17089 and 17101?

Greatest common factor (GCF) of 17089 and 17101 is 1.

GCF(17089,17101) = 1

We will now calculate the prime factors of 17089 and 17101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17089 and 17101.

How to find the GCF of 17089 and 17101?

We will first find the prime factorization of 17089 and 17101. After we will calculate the factors of 17089 and 17101 and find the biggest common factor number .

Step-1: Prime Factorization of 17089

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

17089 = 23¹ × 743¹

Step-2: Prime Factorization of 17101

Prime factors of 17101 are 7, 349. Prime factorization of 17101 in exponential form is:

17101 = 7² × 349¹

Step-3: Factors of 17089

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

1, 23, 743

Step-4: Factors of 17101

List of positive integer factors of 17101 that divides 17089 without a remainder.

1, 7, 49, 349, 2443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17089 and 17101. The biggest common factor number is the GCF number.
So the greatest common factor 17089 and 17101 is 1.

Also check out the Least Common Multiple of 17089 and 17101