What is the Greatest Common Factor of 9851 and 9856?

Greatest common factor (GCF) of 9851 and 9856 is 1.

GCF(9851,9856) = 1

We will now calculate the prime factors of 9851 and 9856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9851 and 9856.

How to find the GCF of 9851 and 9856?

We will first find the prime factorization of 9851 and 9856. After we will calculate the factors of 9851 and 9856 and find the biggest common factor number .

Step-1: Prime Factorization of 9851

Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:

9851 = 9851¹

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 9851

List of positive integer factors of 9851 that divides 9851 without a remainder.

Step-4: Factors of 9856

List of positive integer factors of 9856 that divides 9851 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 9851 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9851 and 9856 is 1.

Also check out the Least Common Multiple of 9851 and 9856