What is the Greatest Common Factor of 9517 and 9525?

Greatest common factor (GCF) of 9517 and 9525 is 1.

GCF(9517,9525) = 1

We will now calculate the prime factors of 9517 and 9525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9517 and 9525.

How to find the GCF of 9517 and 9525?

We will first find the prime factorization of 9517 and 9525. After we will calculate the factors of 9517 and 9525 and find the biggest common factor number .

Step-1: Prime Factorization of 9517

Prime factors of 9517 are 31, 307. Prime factorization of 9517 in exponential form is:

9517 = 31¹ × 307¹

Step-2: 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-3: Factors of 9517

List of positive integer factors of 9517 that divides 9517 without a remainder.

1, 31, 307

Step-4: Factors of 9525

List of positive integer factors of 9525 that divides 9517 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9517 and 9525. The biggest common factor number is the GCF number.
So the greatest common factor 9517 and 9525 is 1.

Also check out the Least Common Multiple of 9517 and 9525