What is the Greatest Common Factor of 9785 and 9804?

Greatest common factor (GCF) of 9785 and 9804 is 19.

GCF(9785,9804) = 19

We will now calculate the prime factors of 9785 and 9804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9785 and 9804.

How to find the GCF of 9785 and 9804?

We will first find the prime factorization of 9785 and 9804. After we will calculate the factors of 9785 and 9804 and find the biggest common factor number .

Step-1: Prime Factorization of 9785

Prime factors of 9785 are 5, 19, 103. Prime factorization of 9785 in exponential form is:

9785 = 5¹ × 19¹ × 103¹

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 9785

List of positive integer factors of 9785 that divides 9785 without a remainder.

1, 5, 19, 95, 103, 515, 1957

Step-4: Factors of 9804

List of positive integer factors of 9804 that divides 9785 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 9785 and 9804. The biggest common factor number is the GCF number.
So the greatest common factor 9785 and 9804 is 19.

Also check out the Least Common Multiple of 9785 and 9804