What is the Greatest Common Factor of 9834 and 9840?

Greatest common factor (GCF) of 9834 and 9840 is 6.

GCF(9834,9840) = 6

We will now calculate the prime factors of 9834 and 9840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9834 and 9840.

How to find the GCF of 9834 and 9840?

We will first find the prime factorization of 9834 and 9840. After we will calculate the factors of 9834 and 9840 and find the biggest common factor number .

Step-1: Prime Factorization of 9834

Prime factors of 9834 are 2, 3, 11, 149. Prime factorization of 9834 in exponential form is:

9834 = 2¹ × 3¹ × 11¹ × 149¹

Step-2: 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-3: Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917

Step-4: Factors of 9840

List of positive integer factors of 9840 that divides 9834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9834 and 9840. The biggest common factor number is the GCF number.
So the greatest common factor 9834 and 9840 is 6.

Also check out the Least Common Multiple of 9834 and 9840