What is the Greatest Common Factor of 9575 and 9595?

Greatest common factor (GCF) of 9575 and 9595 is 5.

GCF(9575,9595) = 5

We will now calculate the prime factors of 9575 and 9595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9575 and 9595.

How to find the GCF of 9575 and 9595?

We will first find the prime factorization of 9575 and 9595. After we will calculate the factors of 9575 and 9595 and find the biggest common factor number .

Step-1: Prime Factorization of 9575

Prime factors of 9575 are 5, 383. Prime factorization of 9575 in exponential form is:

9575 = 5² × 383¹

Step-2: Prime Factorization of 9595

Prime factors of 9595 are 5, 19, 101. Prime factorization of 9595 in exponential form is:

9595 = 5¹ × 19¹ × 101¹

Step-3: Factors of 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1, 5, 25, 383, 1915

Step-4: Factors of 9595

List of positive integer factors of 9595 that divides 9575 without a remainder.

1, 5, 19, 95, 101, 505, 1919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9575 and 9595. The biggest common factor number is the GCF number.
So the greatest common factor 9575 and 9595 is 5.

Also check out the Least Common Multiple of 9575 and 9595