What is the Greatest Common Factor of 9871 and 9879?

Greatest common factor (GCF) of 9871 and 9879 is 1.

GCF(9871,9879) = 1

We will now calculate the prime factors of 9871 and 9879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9871 and 9879.

How to find the GCF of 9871 and 9879?

We will first find the prime factorization of 9871 and 9879. After we will calculate the factors of 9871 and 9879 and find the biggest common factor number .

Step-1: Prime Factorization of 9871

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

9871 = 9871¹

Step-2: Prime Factorization of 9879

Prime factors of 9879 are 3, 37, 89. Prime factorization of 9879 in exponential form is:

9879 = 3¹ × 37¹ × 89¹

Step-3: Factors of 9871

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

Step-4: Factors of 9879

List of positive integer factors of 9879 that divides 9871 without a remainder.

1, 3, 37, 89, 111, 267, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9871 and 9879. The biggest common factor number is the GCF number.
So the greatest common factor 9871 and 9879 is 1.

Also check out the Least Common Multiple of 9871 and 9879