What is the Greatest Common Factor of 9519 and 9537?

Greatest common factor (GCF) of 9519 and 9537 is 3.

GCF(9519,9537) = 3

We will now calculate the prime factors of 9519 and 9537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9519 and 9537.

How to find the GCF of 9519 and 9537?

We will first find the prime factorization of 9519 and 9537. After we will calculate the factors of 9519 and 9537 and find the biggest common factor number .

Step-1: Prime Factorization of 9519

Prime factors of 9519 are 3, 19, 167. Prime factorization of 9519 in exponential form is:

9519 = 3¹ × 19¹ × 167¹

Step-2: Prime Factorization of 9537

Prime factors of 9537 are 3, 11, 17. Prime factorization of 9537 in exponential form is:

9537 = 3¹ × 11¹ × 17²

Step-3: Factors of 9519

List of positive integer factors of 9519 that divides 9519 without a remainder.

1, 3, 19, 57, 167, 501, 3173

Step-4: Factors of 9537

List of positive integer factors of 9537 that divides 9519 without a remainder.

1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9519 and 9537. The biggest common factor number is the GCF number.
So the greatest common factor 9519 and 9537 is 3.

Also check out the Least Common Multiple of 9519 and 9537