What is the Greatest Common Factor of 9856 and 9871?

Greatest common factor (GCF) of 9856 and 9871 is 1.

GCF(9856,9871) = 1

We will now calculate the prime factors of 9856 and 9871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9856 and 9871.

How to find the GCF of 9856 and 9871?

We will first find the prime factorization of 9856 and 9871. After we will calculate the factors of 9856 and 9871 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 9871

Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:

9871 = 9871¹

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 9871

List of positive integer factors of 9871 that divides 9856 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9856 and 9871. The biggest common factor number is the GCF number.
So the greatest common factor 9856 and 9871 is 1.

Also check out the Least Common Multiple of 9856 and 9871