What is the Greatest Common Factor of 16575 and 16595?

Greatest common factor (GCF) of 16575 and 16595 is 5.

GCF(16575,16595) = 5

We will now calculate the prime factors of 16575 and 16595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16575 and 16595.

How to find the GCF of 16575 and 16595?

We will first find the prime factorization of 16575 and 16595. After we will calculate the factors of 16575 and 16595 and find the biggest common factor number .

Step-1: Prime Factorization of 16575

Prime factors of 16575 are 3, 5, 13, 17. Prime factorization of 16575 in exponential form is:

16575 = 3¹ × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 16595

Prime factors of 16595 are 5, 3319. Prime factorization of 16595 in exponential form is:

16595 = 5¹ × 3319¹

Step-3: Factors of 16575

List of positive integer factors of 16575 that divides 16575 without a remainder.

1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 195, 221, 255, 325, 425, 663, 975, 1105, 1275, 3315, 5525

Step-4: Factors of 16595

List of positive integer factors of 16595 that divides 16575 without a remainder.

1, 5, 3319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16575 and 16595. The biggest common factor number is the GCF number.
So the greatest common factor 16575 and 16595 is 5.

Also check out the Least Common Multiple of 16575 and 16595