What is the Greatest Common Factor of 9840 and 9849?

Greatest common factor (GCF) of 9840 and 9849 is 3.

GCF(9840,9849) = 3

We will now calculate the prime factors of 9840 and 9849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9840 and 9849.

How to find the GCF of 9840 and 9849?

We will first find the prime factorization of 9840 and 9849. After we will calculate the factors of 9840 and 9849 and find the biggest common factor number .

Step-1: Prime Factorization of 9840

Prime factors of 9840 are 2, 3, 5, 41. Prime factorization of 9840 in exponential form is:

9840 = 2⁴ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 9849

Prime factors of 9849 are 3, 7, 67. Prime factorization of 9849 in exponential form is:

9849 = 3¹ × 7² × 67¹

Step-3: Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920

Step-4: Factors of 9849

List of positive integer factors of 9849 that divides 9840 without a remainder.

1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9840 and 9849. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9849 is 3.

Also check out the Least Common Multiple of 9840 and 9849