What is the Greatest Common Factor of 16200 and 16204?

Greatest common factor (GCF) of 16200 and 16204 is 4.

GCF(16200,16204) = 4

We will now calculate the prime factors of 16200 and 16204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16200 and 16204.

How to find the GCF of 16200 and 16204?

We will first find the prime factorization of 16200 and 16204. After we will calculate the factors of 16200 and 16204 and find the biggest common factor number .

Step-1: Prime Factorization of 16200

Prime factors of 16200 are 2, 3, 5. Prime factorization of 16200 in exponential form is:

16200 = 2³ × 3⁴ × 5²

Step-2: Prime Factorization of 16204

Prime factors of 16204 are 2, 4051. Prime factorization of 16204 in exponential form is:

16204 = 2² × 4051¹

Step-3: Factors of 16200

List of positive integer factors of 16200 that divides 16200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 81, 90, 100, 108, 120, 135, 150, 162, 180, 200, 216, 225, 270, 300, 324, 360, 405, 450, 540, 600, 648, 675, 810, 900, 1080, 1350, 1620, 1800, 2025, 2700, 3240, 4050, 5400, 8100

Step-4: Factors of 16204

List of positive integer factors of 16204 that divides 16200 without a remainder.

1, 2, 4, 4051, 8102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16200 and 16204. The biggest common factor number is the GCF number.
So the greatest common factor 16200 and 16204 is 4.

Also check out the Least Common Multiple of 16200 and 16204