What is the Greatest Common Factor of 9804 and 9824?

Greatest common factor (GCF) of 9804 and 9824 is 4.

GCF(9804,9824) = 4

We will now calculate the prime factors of 9804 and 9824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9804 and 9824.

How to find the GCF of 9804 and 9824?

We will first find the prime factorization of 9804 and 9824. After we will calculate the factors of 9804 and 9824 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 9824

Prime factors of 9824 are 2, 307. Prime factorization of 9824 in exponential form is:

9824 = 2⁵ × 307¹

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 9824

List of positive integer factors of 9824 that divides 9804 without a remainder.

1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9804 and 9824. The biggest common factor number is the GCF number.
So the greatest common factor 9804 and 9824 is 4.

Also check out the Least Common Multiple of 9804 and 9824