What is the Greatest Common Factor of 9831 and 9843?

Greatest common factor (GCF) of 9831 and 9843 is 3.

GCF(9831,9843) = 3

We will now calculate the prime factors of 9831 and 9843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9831 and 9843.

How to find the GCF of 9831 and 9843?

We will first find the prime factorization of 9831 and 9843. After we will calculate the factors of 9831 and 9843 and find the biggest common factor number .

Step-1: Prime Factorization of 9831

Prime factors of 9831 are 3, 29, 113. Prime factorization of 9831 in exponential form is:

9831 = 3¹ × 29¹ × 113¹

Step-2: Prime Factorization of 9843

Prime factors of 9843 are 3, 17, 193. Prime factorization of 9843 in exponential form is:

9843 = 3¹ × 17¹ × 193¹

Step-3: Factors of 9831

List of positive integer factors of 9831 that divides 9831 without a remainder.

1, 3, 29, 87, 113, 339, 3277

Step-4: Factors of 9843

List of positive integer factors of 9843 that divides 9831 without a remainder.

1, 3, 17, 51, 193, 579, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9831 and 9843. The biggest common factor number is the GCF number.
So the greatest common factor 9831 and 9843 is 3.

Also check out the Least Common Multiple of 9831 and 9843