What is the Greatest Common Factor of 9814 and 9834?

Greatest common factor (GCF) of 9814 and 9834 is 2.

GCF(9814,9834) = 2

We will now calculate the prime factors of 9814 and 9834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9814 and 9834.

How to find the GCF of 9814 and 9834?

We will first find the prime factorization of 9814 and 9834. After we will calculate the factors of 9814 and 9834 and find the biggest common factor number .

Step-1: Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

Step-2: 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-3: Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Step-4: Factors of 9834

List of positive integer factors of 9834 that divides 9814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9814 and 9834. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9834 is 2.

Also check out the Least Common Multiple of 9814 and 9834