What is the Greatest Common Factor of 9555 and 9573?

Greatest common factor (GCF) of 9555 and 9573 is 3.

GCF(9555,9573) = 3

We will now calculate the prime factors of 9555 and 9573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9555 and 9573.

How to find the GCF of 9555 and 9573?

We will first find the prime factorization of 9555 and 9573. After we will calculate the factors of 9555 and 9573 and find the biggest common factor number .

Step-1: Prime Factorization of 9555

Prime factors of 9555 are 3, 5, 7, 13. Prime factorization of 9555 in exponential form is:

9555 = 3¹ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 9573

Prime factors of 9573 are 3, 3191. Prime factorization of 9573 in exponential form is:

9573 = 3¹ × 3191¹

Step-3: Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185

Step-4: Factors of 9573

List of positive integer factors of 9573 that divides 9555 without a remainder.

1, 3, 3191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9555 and 9573. The biggest common factor number is the GCF number.
So the greatest common factor 9555 and 9573 is 3.

Also check out the Least Common Multiple of 9555 and 9573