What is the Greatest Common Factor of 23529 and 23536?

Greatest common factor (GCF) of 23529 and 23536 is 1.

GCF(23529,23536) = 1

We will now calculate the prime factors of 23529 and 23536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23529 and 23536.

How to find the GCF of 23529 and 23536?

We will first find the prime factorization of 23529 and 23536. After we will calculate the factors of 23529 and 23536 and find the biggest common factor number .

Step-1: Prime Factorization of 23529

Prime factors of 23529 are 3, 11, 23, 31. Prime factorization of 23529 in exponential form is:

23529 = 3¹ × 11¹ × 23¹ × 31¹

Step-2: Prime Factorization of 23536

Prime factors of 23536 are 2, 1471. Prime factorization of 23536 in exponential form is:

23536 = 2⁴ × 1471¹

Step-3: Factors of 23529

List of positive integer factors of 23529 that divides 23529 without a remainder.

1, 3, 11, 23, 31, 33, 69, 93, 253, 341, 713, 759, 1023, 2139, 7843

Step-4: Factors of 23536

List of positive integer factors of 23536 that divides 23529 without a remainder.

1, 2, 4, 8, 16, 1471, 2942, 5884, 11768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23529 and 23536. The biggest common factor number is the GCF number.
So the greatest common factor 23529 and 23536 is 1.

Also check out the Least Common Multiple of 23529 and 23536