What is the Greatest Common Factor of 19803 and 19821?

Greatest common factor (GCF) of 19803 and 19821 is 3.

GCF(19803,19821) = 3

We will now calculate the prime factors of 19803 and 19821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19803 and 19821.

How to find the GCF of 19803 and 19821?

We will first find the prime factorization of 19803 and 19821. After we will calculate the factors of 19803 and 19821 and find the biggest common factor number .

Step-1: Prime Factorization of 19803

Prime factors of 19803 are 3, 7, 23, 41. Prime factorization of 19803 in exponential form is:

19803 = 3¹ × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 19821

Prime factors of 19821 are 3, 6607. Prime factorization of 19821 in exponential form is:

19821 = 3¹ × 6607¹

Step-3: Factors of 19803

List of positive integer factors of 19803 that divides 19803 without a remainder.

1, 3, 7, 21, 23, 41, 69, 123, 161, 287, 483, 861, 943, 2829, 6601

Step-4: Factors of 19821

List of positive integer factors of 19821 that divides 19803 without a remainder.

1, 3, 6607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19803 and 19821. The biggest common factor number is the GCF number.
So the greatest common factor 19803 and 19821 is 3.

Also check out the Least Common Multiple of 19803 and 19821