What is the Greatest Common Factor of 9517 and 9522?

Greatest common factor (GCF) of 9517 and 9522 is 1.

GCF(9517,9522) = 1

We will now calculate the prime factors of 9517 and 9522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9517 and 9522.

How to find the GCF of 9517 and 9522?

We will first find the prime factorization of 9517 and 9522. After we will calculate the factors of 9517 and 9522 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 9522

Prime factors of 9522 are 2, 3, 23. Prime factorization of 9522 in exponential form is:

9522 = 2¹ × 3² × 23²

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 9522

List of positive integer factors of 9522 that divides 9517 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9517 and 9522. The biggest common factor number is the GCF number.
So the greatest common factor 9517 and 9522 is 1.

Also check out the Least Common Multiple of 9517 and 9522