What is the Greatest Common Factor of 23529 and 23549?

Greatest common factor (GCF) of 23529 and 23549 is 1.

GCF(23529,23549) = 1

We will now calculate the prime factors of 23529 and 23549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23529 and 23549.

How to find the GCF of 23529 and 23549?

We will first find the prime factorization of 23529 and 23549. After we will calculate the factors of 23529 and 23549 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 23549

Prime factors of 23549 are 23549. Prime factorization of 23549 in exponential form is:

23549 = 23549¹

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 23549

List of positive integer factors of 23549 that divides 23529 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23529 and 23549. The biggest common factor number is the GCF number.
So the greatest common factor 23529 and 23549 is 1.

Also check out the Least Common Multiple of 23529 and 23549