What is the Greatest Common Factor of 9864 and 9876?

Greatest common factor (GCF) of 9864 and 9876 is 12.

GCF(9864,9876) = 12

We will now calculate the prime factors of 9864 and 9876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9864 and 9876.

How to find the GCF of 9864 and 9876?

We will first find the prime factorization of 9864 and 9876. After we will calculate the factors of 9864 and 9876 and find the biggest common factor number .

Step-1: Prime Factorization of 9864

Prime factors of 9864 are 2, 3, 137. Prime factorization of 9864 in exponential form is:

9864 = 2³ × 3² × 137¹

Step-2: 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-3: Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932

Step-4: Factors of 9876

List of positive integer factors of 9876 that divides 9864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9864 and 9876. The biggest common factor number is the GCF number.
So the greatest common factor 9864 and 9876 is 12.

Also check out the Least Common Multiple of 9864 and 9876