What is the Greatest Common Factor of 32541 and 32547?

Greatest common factor (GCF) of 32541 and 32547 is 3.

GCF(32541,32547) = 3

We will now calculate the prime factors of 32541 and 32547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32541 and 32547.

How to find the GCF of 32541 and 32547?

We will first find the prime factorization of 32541 and 32547. After we will calculate the factors of 32541 and 32547 and find the biggest common factor number .

Step-1: Prime Factorization of 32541

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

32541 = 3¹ × 10847¹

Step-2: Prime Factorization of 32547

Prime factors of 32547 are 3, 19, 571. Prime factorization of 32547 in exponential form is:

32547 = 3¹ × 19¹ × 571¹

Step-3: Factors of 32541

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

1, 3, 10847

Step-4: Factors of 32547

List of positive integer factors of 32547 that divides 32541 without a remainder.

1, 3, 19, 57, 571, 1713, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32541 and 32547. The biggest common factor number is the GCF number.
So the greatest common factor 32541 and 32547 is 3.

Also check out the Least Common Multiple of 32541 and 32547