What is the Greatest Common Factor of 9804 and 9823?

Greatest common factor (GCF) of 9804 and 9823 is 19.

GCF(9804,9823) = 19

We will now calculate the prime factors of 9804 and 9823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9804 and 9823.

How to find the GCF of 9804 and 9823?

We will first find the prime factorization of 9804 and 9823. After we will calculate the factors of 9804 and 9823 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 9823

Prime factors of 9823 are 11, 19, 47. Prime factorization of 9823 in exponential form is:

9823 = 11¹ × 19¹ × 47¹

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 9823

List of positive integer factors of 9823 that divides 9804 without a remainder.

1, 11, 19, 47, 209, 517, 893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9804 and 9823. The biggest common factor number is the GCF number.
So the greatest common factor 9804 and 9823 is 19.

Also check out the Least Common Multiple of 9804 and 9823