What is the Greatest Common Factor of 17889 and 17909?

Greatest common factor (GCF) of 17889 and 17909 is 1.

GCF(17889,17909) = 1

We will now calculate the prime factors of 17889 and 17909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17889 and 17909.

How to find the GCF of 17889 and 17909?

We will first find the prime factorization of 17889 and 17909. After we will calculate the factors of 17889 and 17909 and find the biggest common factor number .

Step-1: Prime Factorization of 17889

Prime factors of 17889 are 3, 67, 89. Prime factorization of 17889 in exponential form is:

17889 = 3¹ × 67¹ × 89¹

Step-2: Prime Factorization of 17909

Prime factors of 17909 are 17909. Prime factorization of 17909 in exponential form is:

17909 = 17909¹

Step-3: Factors of 17889

List of positive integer factors of 17889 that divides 17889 without a remainder.

1, 3, 67, 89, 201, 267, 5963

Step-4: Factors of 17909

List of positive integer factors of 17909 that divides 17889 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17889 and 17909. The biggest common factor number is the GCF number.
So the greatest common factor 17889 and 17909 is 1.

Also check out the Least Common Multiple of 17889 and 17909