What is the Greatest Common Factor of 38541 and 38547?

Greatest common factor (GCF) of 38541 and 38547 is 3.

GCF(38541,38547) = 3

We will now calculate the prime factors of 38541 and 38547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38541 and 38547.

How to find the GCF of 38541 and 38547?

We will first find the prime factorization of 38541 and 38547. After we will calculate the factors of 38541 and 38547 and find the biggest common factor number .

Step-1: Prime Factorization of 38541

Prime factors of 38541 are 3, 29, 443. Prime factorization of 38541 in exponential form is:

38541 = 3¹ × 29¹ × 443¹

Step-2: Prime Factorization of 38547

Prime factors of 38547 are 3, 4283. Prime factorization of 38547 in exponential form is:

38547 = 3² × 4283¹

Step-3: Factors of 38541

List of positive integer factors of 38541 that divides 38541 without a remainder.

1, 3, 29, 87, 443, 1329, 12847

Step-4: Factors of 38547

List of positive integer factors of 38547 that divides 38541 without a remainder.

1, 3, 9, 4283, 12849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38541 and 38547. The biggest common factor number is the GCF number.
So the greatest common factor 38541 and 38547 is 3.

Also check out the Least Common Multiple of 38541 and 38547