What is the Greatest Common Factor of 23561 and 23569?

Greatest common factor (GCF) of 23561 and 23569 is 1.

GCF(23561,23569) = 1

We will now calculate the prime factors of 23561 and 23569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23561 and 23569.

How to find the GCF of 23561 and 23569?

We will first find the prime factorization of 23561 and 23569. After we will calculate the factors of 23561 and 23569 and find the biggest common factor number .

Step-1: Prime Factorization of 23561

Prime factors of 23561 are 23561. Prime factorization of 23561 in exponential form is:

23561 = 23561¹

Step-2: Prime Factorization of 23569

Prime factors of 23569 are 7, 13, 37. Prime factorization of 23569 in exponential form is:

23569 = 7² × 13¹ × 37¹

Step-3: Factors of 23561

List of positive integer factors of 23561 that divides 23561 without a remainder.

Step-4: Factors of 23569

List of positive integer factors of 23569 that divides 23561 without a remainder.

1, 7, 13, 37, 49, 91, 259, 481, 637, 1813, 3367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23561 and 23569. The biggest common factor number is the GCF number.
So the greatest common factor 23561 and 23569 is 1.

Also check out the Least Common Multiple of 23561 and 23569