What is the Greatest Common Factor of 23553 and 23571?

Greatest common factor (GCF) of 23553 and 23571 is 9.

GCF(23553,23571) = 9

We will now calculate the prime factors of 23553 and 23571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23553 and 23571.

How to find the GCF of 23553 and 23571?

We will first find the prime factorization of 23553 and 23571. After we will calculate the factors of 23553 and 23571 and find the biggest common factor number .

Step-1: Prime Factorization of 23553

Prime factors of 23553 are 3, 2617. Prime factorization of 23553 in exponential form is:

23553 = 3² × 2617¹

Step-2: Prime Factorization of 23571

Prime factors of 23571 are 3, 97. Prime factorization of 23571 in exponential form is:

23571 = 3⁵ × 97¹

Step-3: Factors of 23553

List of positive integer factors of 23553 that divides 23553 without a remainder.

1, 3, 9, 2617, 7851

Step-4: Factors of 23571

List of positive integer factors of 23571 that divides 23553 without a remainder.

1, 3, 9, 27, 81, 97, 243, 291, 873, 2619, 7857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23553 and 23571. The biggest common factor number is the GCF number.
So the greatest common factor 23553 and 23571 is 9.

Also check out the Least Common Multiple of 23553 and 23571