What is the Greatest Common Factor of 19800 and 19819?

Greatest common factor (GCF) of 19800 and 19819 is 1.

GCF(19800,19819) = 1

We will now calculate the prime factors of 19800 and 19819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19800 and 19819.

How to find the GCF of 19800 and 19819?

We will first find the prime factorization of 19800 and 19819. After we will calculate the factors of 19800 and 19819 and find the biggest common factor number .

Step-1: Prime Factorization of 19800

Prime factors of 19800 are 2, 3, 5, 11. Prime factorization of 19800 in exponential form is:

19800 = 2³ × 3² × 5² × 11¹

Step-2: Prime Factorization of 19819

Prime factors of 19819 are 19819. Prime factorization of 19819 in exponential form is:

19819 = 19819¹

Step-3: Factors of 19800

List of positive integer factors of 19800 that divides 19800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 25, 30, 33, 36, 40, 44, 45, 50, 55, 60, 66, 72, 75, 88, 90, 99, 100, 110, 120, 132, 150, 165, 180, 198, 200, 220, 225, 264, 275, 300, 330, 360, 396, 440, 450, 495, 550, 600, 660, 792, 825, 900, 990, 1100, 1320, 1650, 1800, 1980, 2200, 2475, 3300, 3960, 4950, 6600, 9900

Step-4: Factors of 19819

List of positive integer factors of 19819 that divides 19800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19800 and 19819. The biggest common factor number is the GCF number.
So the greatest common factor 19800 and 19819 is 1.

Also check out the Least Common Multiple of 19800 and 19819