What is the Greatest Common Factor of 17809 and 17823?

Greatest common factor (GCF) of 17809 and 17823 is 1.

GCF(17809,17823) = 1

We will now calculate the prime factors of 17809 and 17823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17809 and 17823.

How to find the GCF of 17809 and 17823?

We will first find the prime factorization of 17809 and 17823. After we will calculate the factors of 17809 and 17823 and find the biggest common factor number .

Step-1: Prime Factorization of 17809

Prime factors of 17809 are 11, 1619. Prime factorization of 17809 in exponential form is:

17809 = 11¹ × 1619¹

Step-2: Prime Factorization of 17823

Prime factors of 17823 are 3, 13, 457. Prime factorization of 17823 in exponential form is:

17823 = 3¹ × 13¹ × 457¹

Step-3: Factors of 17809

List of positive integer factors of 17809 that divides 17809 without a remainder.

1, 11, 1619

Step-4: Factors of 17823

List of positive integer factors of 17823 that divides 17809 without a remainder.

1, 3, 13, 39, 457, 1371, 5941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17809 and 17823. The biggest common factor number is the GCF number.
So the greatest common factor 17809 and 17823 is 1.

Also check out the Least Common Multiple of 17809 and 17823