What is the Greatest Common Factor of 9541 and 9550?

Greatest common factor (GCF) of 9541 and 9550 is 1.

GCF(9541,9550) = 1

We will now calculate the prime factors of 9541 and 9550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9541 and 9550.

How to find the GCF of 9541 and 9550?

We will first find the prime factorization of 9541 and 9550. After we will calculate the factors of 9541 and 9550 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 9550

Prime factors of 9550 are 2, 5, 191. Prime factorization of 9550 in exponential form is:

9550 = 2¹ × 5² × 191¹

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 9550

List of positive integer factors of 9550 that divides 9541 without a remainder.

1, 2, 5, 10, 25, 50, 191, 382, 955, 1910, 4775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9541 and 9550. The biggest common factor number is the GCF number.
So the greatest common factor 9541 and 9550 is 1.

Also check out the Least Common Multiple of 9541 and 9550