What is the Greatest Common Factor of 9834 and 9845?

Greatest common factor (GCF) of 9834 and 9845 is 11.

GCF(9834,9845) = 11

We will now calculate the prime factors of 9834 and 9845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9834 and 9845.

How to find the GCF of 9834 and 9845?

We will first find the prime factorization of 9834 and 9845. After we will calculate the factors of 9834 and 9845 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 9845

Prime factors of 9845 are 5, 11, 179. Prime factorization of 9845 in exponential form is:

9845 = 5¹ × 11¹ × 179¹

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 9845

List of positive integer factors of 9845 that divides 9834 without a remainder.

1, 5, 11, 55, 179, 895, 1969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9834 and 9845. The biggest common factor number is the GCF number.
So the greatest common factor 9834 and 9845 is 11.

Also check out the Least Common Multiple of 9834 and 9845