What is the Greatest Common Factor of 9565 and 9585?

Greatest common factor (GCF) of 9565 and 9585 is 5.

GCF(9565,9585) = 5

We will now calculate the prime factors of 9565 and 9585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9565 and 9585.

How to find the GCF of 9565 and 9585?

We will first find the prime factorization of 9565 and 9585. After we will calculate the factors of 9565 and 9585 and find the biggest common factor number .

Step-1: Prime Factorization of 9565

Prime factors of 9565 are 5, 1913. Prime factorization of 9565 in exponential form is:

9565 = 5¹ × 1913¹

Step-2: 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-3: Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1, 5, 1913

Step-4: Factors of 9585

List of positive integer factors of 9585 that divides 9565 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9565 and 9585. The biggest common factor number is the GCF number.
So the greatest common factor 9565 and 9585 is 5.

Also check out the Least Common Multiple of 9565 and 9585