What is the Greatest Common Factor of 9804 and 9819?

Greatest common factor (GCF) of 9804 and 9819 is 3.

GCF(9804,9819) = 3

We will now calculate the prime factors of 9804 and 9819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9804 and 9819.

How to find the GCF of 9804 and 9819?

We will first find the prime factorization of 9804 and 9819. After we will calculate the factors of 9804 and 9819 and find the biggest common factor number .

Step-1: Prime Factorization of 9804

Prime factors of 9804 are 2, 3, 19, 43. Prime factorization of 9804 in exponential form is:

9804 = 2² × 3¹ × 19¹ × 43¹

Step-2: Prime Factorization of 9819

Prime factors of 9819 are 3, 1091. Prime factorization of 9819 in exponential form is:

9819 = 3² × 1091¹

Step-3: Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 43, 57, 76, 86, 114, 129, 172, 228, 258, 516, 817, 1634, 2451, 3268, 4902

Step-4: Factors of 9819

List of positive integer factors of 9819 that divides 9804 without a remainder.

1, 3, 9, 1091, 3273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9804 and 9819. The biggest common factor number is the GCF number.
So the greatest common factor 9804 and 9819 is 3.

Also check out the Least Common Multiple of 9804 and 9819