What is the Greatest Common Factor of 32523 and 32541?

Greatest common factor (GCF) of 32523 and 32541 is 3.

GCF(32523,32541) = 3

We will now calculate the prime factors of 32523 and 32541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32523 and 32541.

How to find the GCF of 32523 and 32541?

We will first find the prime factorization of 32523 and 32541. After we will calculate the factors of 32523 and 32541 and find the biggest common factor number .

Step-1: Prime Factorization of 32523

Prime factors of 32523 are 3, 37, 293. Prime factorization of 32523 in exponential form is:

32523 = 3¹ × 37¹ × 293¹

Step-2: Prime Factorization of 32541

Prime factors of 32541 are 3, 10847. Prime factorization of 32541 in exponential form is:

32541 = 3¹ × 10847¹

Step-3: Factors of 32523

List of positive integer factors of 32523 that divides 32523 without a remainder.

1, 3, 37, 111, 293, 879, 10841

Step-4: Factors of 32541

List of positive integer factors of 32541 that divides 32523 without a remainder.

1, 3, 10847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32523 and 32541. The biggest common factor number is the GCF number.
So the greatest common factor 32523 and 32541 is 3.

Also check out the Least Common Multiple of 32523 and 32541