What is the Greatest Common Factor of 9541 and 9547?

Greatest common factor (GCF) of 9541 and 9547 is 1.

GCF(9541,9547) = 1

We will now calculate the prime factors of 9541 and 9547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9541 and 9547.

How to find the GCF of 9541 and 9547?

We will first find the prime factorization of 9541 and 9547. After we will calculate the factors of 9541 and 9547 and find the biggest common factor number .

Step-1: Prime Factorization of 9541

Prime factors of 9541 are 7, 29, 47. Prime factorization of 9541 in exponential form is:

9541 = 7¹ × 29¹ × 47¹

Step-2: Prime Factorization of 9547

Prime factors of 9547 are 9547. Prime factorization of 9547 in exponential form is:

9547 = 9547¹

Step-3: Factors of 9541

List of positive integer factors of 9541 that divides 9541 without a remainder.

1, 7, 29, 47, 203, 329, 1363

Step-4: Factors of 9547

List of positive integer factors of 9547 that divides 9541 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9541 and 9547. The biggest common factor number is the GCF number.
So the greatest common factor 9541 and 9547 is 1.

Also check out the Least Common Multiple of 9541 and 9547