What is the Greatest Common Factor of 9849 and 9856?

Greatest common factor (GCF) of 9849 and 9856 is 7.

GCF(9849,9856) = 7

We will now calculate the prime factors of 9849 and 9856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9849 and 9856.

How to find the GCF of 9849 and 9856?

We will first find the prime factorization of 9849 and 9856. After we will calculate the factors of 9849 and 9856 and find the biggest common factor number .

Step-1: Prime Factorization of 9849

Prime factors of 9849 are 3, 7, 67. Prime factorization of 9849 in exponential form is:

9849 = 3¹ × 7² × 67¹

Step-2: 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-3: Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283

Step-4: Factors of 9856

List of positive integer factors of 9856 that divides 9849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9849 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9856 is 7.

Also check out the Least Common Multiple of 9849 and 9856