What is the Greatest Common Factor of 9876 and 9891?

Greatest common factor (GCF) of 9876 and 9891 is 3.

GCF(9876,9891) = 3

We will now calculate the prime factors of 9876 and 9891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9876 and 9891.

How to find the GCF of 9876 and 9891?

We will first find the prime factorization of 9876 and 9891. After we will calculate the factors of 9876 and 9891 and find the biggest common factor number .

Step-1: Prime Factorization of 9876

Prime factors of 9876 are 2, 3, 823. Prime factorization of 9876 in exponential form is:

9876 = 2² × 3¹ × 823¹

Step-2: Prime Factorization of 9891

Prime factors of 9891 are 3, 7, 157. Prime factorization of 9891 in exponential form is:

9891 = 3² × 7¹ × 157¹

Step-3: Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938

Step-4: Factors of 9891

List of positive integer factors of 9891 that divides 9876 without a remainder.

1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9876 and 9891. The biggest common factor number is the GCF number.
So the greatest common factor 9876 and 9891 is 3.

Also check out the Least Common Multiple of 9876 and 9891