What is the Greatest Common Factor of 9541 and 9557?

Greatest common factor (GCF) of 9541 and 9557 is 1.

GCF(9541,9557) = 1

We will now calculate the prime factors of 9541 and 9557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9541 and 9557.

How to find the GCF of 9541 and 9557?

We will first find the prime factorization of 9541 and 9557. After we will calculate the factors of 9541 and 9557 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 9557

Prime factors of 9557 are 19, 503. Prime factorization of 9557 in exponential form is:

9557 = 19¹ × 503¹

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 9557

List of positive integer factors of 9557 that divides 9541 without a remainder.

1, 19, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9541 and 9557. The biggest common factor number is the GCF number.
So the greatest common factor 9541 and 9557 is 1.

Also check out the Least Common Multiple of 9541 and 9557