What is the Greatest Common Factor of 16575 and 16580?

Greatest common factor (GCF) of 16575 and 16580 is 5.

GCF(16575,16580) = 5

We will now calculate the prime factors of 16575 and 16580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16575 and 16580.

How to find the GCF of 16575 and 16580?

We will first find the prime factorization of 16575 and 16580. After we will calculate the factors of 16575 and 16580 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 16580

Prime factors of 16580 are 2, 5, 829. Prime factorization of 16580 in exponential form is:

16580 = 2² × 5¹ × 829¹

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 16580

List of positive integer factors of 16580 that divides 16575 without a remainder.

1, 2, 4, 5, 10, 20, 829, 1658, 3316, 4145, 8290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16575 and 16580. The biggest common factor number is the GCF number.
So the greatest common factor 16575 and 16580 is 5.

Also check out the Least Common Multiple of 16575 and 16580