What is the Greatest Common Factor of 32575 and 32595?

Greatest common factor (GCF) of 32575 and 32595 is 5.

GCF(32575,32595) = 5

We will now calculate the prime factors of 32575 and 32595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32575 and 32595.

How to find the GCF of 32575 and 32595?

We will first find the prime factorization of 32575 and 32595. After we will calculate the factors of 32575 and 32595 and find the biggest common factor number .

Step-1: Prime Factorization of 32575

Prime factors of 32575 are 5, 1303. Prime factorization of 32575 in exponential form is:

32575 = 5² × 1303¹

Step-2: Prime Factorization of 32595

Prime factors of 32595 are 3, 5, 41, 53. Prime factorization of 32595 in exponential form is:

32595 = 3¹ × 5¹ × 41¹ × 53¹

Step-3: Factors of 32575

List of positive integer factors of 32575 that divides 32575 without a remainder.

1, 5, 25, 1303, 6515

Step-4: Factors of 32595

List of positive integer factors of 32595 that divides 32575 without a remainder.

1, 3, 5, 15, 41, 53, 123, 159, 205, 265, 615, 795, 2173, 6519, 10865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32575 and 32595. The biggest common factor number is the GCF number.
So the greatest common factor 32575 and 32595 is 5.

Also check out the Least Common Multiple of 32575 and 32595