What is the Greatest Common Factor of 16500 and 16504?

Greatest common factor (GCF) of 16500 and 16504 is 4.

GCF(16500,16504) = 4

We will now calculate the prime factors of 16500 and 16504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16500 and 16504.

How to find the GCF of 16500 and 16504?

We will first find the prime factorization of 16500 and 16504. After we will calculate the factors of 16500 and 16504 and find the biggest common factor number .

Step-1: Prime Factorization of 16500

Prime factors of 16500 are 2, 3, 5, 11. Prime factorization of 16500 in exponential form is:

16500 = 2² × 3¹ × 5³ × 11¹

Step-2: Prime Factorization of 16504

Prime factors of 16504 are 2, 2063. Prime factorization of 16504 in exponential form is:

16504 = 2³ × 2063¹

Step-3: Factors of 16500

List of positive integer factors of 16500 that divides 16500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 125, 132, 150, 165, 220, 250, 275, 300, 330, 375, 500, 550, 660, 750, 825, 1100, 1375, 1500, 1650, 2750, 3300, 4125, 5500, 8250

Step-4: Factors of 16504

List of positive integer factors of 16504 that divides 16500 without a remainder.

1, 2, 4, 8, 2063, 4126, 8252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16500 and 16504. The biggest common factor number is the GCF number.
So the greatest common factor 16500 and 16504 is 4.

Also check out the Least Common Multiple of 16500 and 16504