What is the Greatest Common Factor of 9845 and 9856?

Greatest common factor (GCF) of 9845 and 9856 is 11.

GCF(9845,9856) = 11

We will now calculate the prime factors of 9845 and 9856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9845 and 9856.

How to find the GCF of 9845 and 9856?

We will first find the prime factorization of 9845 and 9856. After we will calculate the factors of 9845 and 9856 and find the biggest common factor number .

Step-1: Prime Factorization of 9845

Prime factors of 9845 are 5, 11, 179. Prime factorization of 9845 in exponential form is:

9845 = 5¹ × 11¹ × 179¹

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 9845

List of positive integer factors of 9845 that divides 9845 without a remainder.

1, 5, 11, 55, 179, 895, 1969

Step-4: Factors of 9856

List of positive integer factors of 9856 that divides 9845 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 9845 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9845 and 9856 is 11.

Also check out the Least Common Multiple of 9845 and 9856