What is the Greatest Common Factor of 9585 and 9597?

Greatest common factor (GCF) of 9585 and 9597 is 3.

GCF(9585,9597) = 3

We will now calculate the prime factors of 9585 and 9597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9585 and 9597.

How to find the GCF of 9585 and 9597?

We will first find the prime factorization of 9585 and 9597. After we will calculate the factors of 9585 and 9597 and find the biggest common factor number .

Step-1: Prime Factorization of 9585

Prime factors of 9585 are 3, 5, 71. Prime factorization of 9585 in exponential form is:

9585 = 3³ × 5¹ × 71¹

Step-2: Prime Factorization of 9597

Prime factors of 9597 are 3, 7, 457. Prime factorization of 9597 in exponential form is:

9597 = 3¹ × 7¹ × 457¹

Step-3: Factors of 9585

List of positive integer factors of 9585 that divides 9585 without a remainder.

1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195

Step-4: Factors of 9597

List of positive integer factors of 9597 that divides 9585 without a remainder.

1, 3, 7, 21, 457, 1371, 3199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9585 and 9597. The biggest common factor number is the GCF number.
So the greatest common factor 9585 and 9597 is 3.

Also check out the Least Common Multiple of 9585 and 9597