What is the Greatest Common Factor of 9517 and 9536?

Greatest common factor (GCF) of 9517 and 9536 is 1.

GCF(9517,9536) = 1

We will now calculate the prime factors of 9517 and 9536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9517 and 9536.

How to find the GCF of 9517 and 9536?

We will first find the prime factorization of 9517 and 9536. After we will calculate the factors of 9517 and 9536 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 9536

Prime factors of 9536 are 2, 149. Prime factorization of 9536 in exponential form is:

9536 = 2⁶ × 149¹

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 9536

List of positive integer factors of 9536 that divides 9517 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9517 and 9536. The biggest common factor number is the GCF number.
So the greatest common factor 9517 and 9536 is 1.

Also check out the Least Common Multiple of 9517 and 9536