What is the Greatest Common Factor of 18561 and 18569?

Greatest common factor (GCF) of 18561 and 18569 is 1.

GCF(18561,18569) = 1

We will now calculate the prime factors of 18561 and 18569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18561 and 18569.

How to find the GCF of 18561 and 18569?

We will first find the prime factorization of 18561 and 18569. After we will calculate the factors of 18561 and 18569 and find the biggest common factor number .

Step-1: Prime Factorization of 18561

Prime factors of 18561 are 3, 23, 269. Prime factorization of 18561 in exponential form is:

18561 = 3¹ × 23¹ × 269¹

Step-2: Prime Factorization of 18569

Prime factors of 18569 are 31, 599. Prime factorization of 18569 in exponential form is:

18569 = 31¹ × 599¹

Step-3: Factors of 18561

List of positive integer factors of 18561 that divides 18561 without a remainder.

1, 3, 23, 69, 269, 807, 6187

Step-4: Factors of 18569

List of positive integer factors of 18569 that divides 18561 without a remainder.

1, 31, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18561 and 18569. The biggest common factor number is the GCF number.
So the greatest common factor 18561 and 18569 is 1.

Also check out the Least Common Multiple of 18561 and 18569