What is the Greatest Common Factor of 9799 and 9804?

Greatest common factor (GCF) of 9799 and 9804 is 1.

GCF(9799,9804) = 1

We will now calculate the prime factors of 9799 and 9804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9799 and 9804.

How to find the GCF of 9799 and 9804?

We will first find the prime factorization of 9799 and 9804. After we will calculate the factors of 9799 and 9804 and find the biggest common factor number .

Step-1: Prime Factorization of 9799

Prime factors of 9799 are 41, 239. Prime factorization of 9799 in exponential form is:

9799 = 41¹ × 239¹

Step-2: 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-3: Factors of 9799

List of positive integer factors of 9799 that divides 9799 without a remainder.

1, 41, 239

Step-4: Factors of 9804

List of positive integer factors of 9804 that divides 9799 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9799 and 9804. The biggest common factor number is the GCF number.
So the greatest common factor 9799 and 9804 is 1.

Also check out the Least Common Multiple of 9799 and 9804