What is the Greatest Common Factor of 23529 and 23541?

Greatest common factor (GCF) of 23529 and 23541 is 3.

GCF(23529,23541) = 3

We will now calculate the prime factors of 23529 and 23541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23529 and 23541.

How to find the GCF of 23529 and 23541?

We will first find the prime factorization of 23529 and 23541. After we will calculate the factors of 23529 and 23541 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 23541

Prime factors of 23541 are 3, 7, 19, 59. Prime factorization of 23541 in exponential form is:

23541 = 3¹ × 7¹ × 19¹ × 59¹

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 23541

List of positive integer factors of 23541 that divides 23529 without a remainder.

1, 3, 7, 19, 21, 57, 59, 133, 177, 399, 413, 1121, 1239, 3363, 7847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23529 and 23541. The biggest common factor number is the GCF number.
So the greatest common factor 23529 and 23541 is 3.

Also check out the Least Common Multiple of 23529 and 23541