What is the Greatest Common Factor of 9525 and 9541?

Greatest common factor (GCF) of 9525 and 9541 is 1.

GCF(9525,9541) = 1

We will now calculate the prime factors of 9525 and 9541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9525 and 9541.

How to find the GCF of 9525 and 9541?

We will first find the prime factorization of 9525 and 9541. After we will calculate the factors of 9525 and 9541 and find the biggest common factor number .

Step-1: Prime Factorization of 9525

Prime factors of 9525 are 3, 5, 127. Prime factorization of 9525 in exponential form is:

9525 = 3¹ × 5² × 127¹

Step-2: 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-3: Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175

Step-4: Factors of 9541

List of positive integer factors of 9541 that divides 9525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9525 and 9541. The biggest common factor number is the GCF number.
So the greatest common factor 9525 and 9541 is 1.

Also check out the Least Common Multiple of 9525 and 9541