What is the Greatest Common Factor of 9856 and 9876?

Greatest common factor (GCF) of 9856 and 9876 is 4.

GCF(9856,9876) = 4

We will now calculate the prime factors of 9856 and 9876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9856 and 9876.

How to find the GCF of 9856 and 9876?

We will first find the prime factorization of 9856 and 9876. After we will calculate the factors of 9856 and 9876 and find the biggest common factor number .

Step-1: Prime Factorization of 9856

Prime factors of 9856 are 2, 7, 11. Prime factorization of 9856 in exponential form is:

9856 = 2⁷ × 7¹ × 11¹

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 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928

Step-4: Factors of 9876

List of positive integer factors of 9876 that divides 9856 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 9856 and 9876. The biggest common factor number is the GCF number.
So the greatest common factor 9856 and 9876 is 4.

Also check out the Least Common Multiple of 9856 and 9876