What is the Greatest Common Factor of 32590 and 32595?

Greatest common factor (GCF) of 32590 and 32595 is 5.

GCF(32590,32595) = 5

We will now calculate the prime factors of 32590 and 32595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32590 and 32595.

How to find the GCF of 32590 and 32595?

We will first find the prime factorization of 32590 and 32595. After we will calculate the factors of 32590 and 32595 and find the biggest common factor number .

Step-1: Prime Factorization of 32590

Prime factors of 32590 are 2, 5, 3259. Prime factorization of 32590 in exponential form is:

32590 = 2¹ × 5¹ × 3259¹

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 32590

List of positive integer factors of 32590 that divides 32590 without a remainder.

1, 2, 5, 10, 3259, 6518, 16295

Step-4: Factors of 32595

List of positive integer factors of 32595 that divides 32590 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 32590 and 32595. The biggest common factor number is the GCF number.
So the greatest common factor 32590 and 32595 is 5.

Also check out the Least Common Multiple of 32590 and 32595