What is the Greatest Common Factor of 9861 and 9879?

Greatest common factor (GCF) of 9861 and 9879 is 3.

GCF(9861,9879) = 3

We will now calculate the prime factors of 9861 and 9879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9861 and 9879.

How to find the GCF of 9861 and 9879?

We will first find the prime factorization of 9861 and 9879. After we will calculate the factors of 9861 and 9879 and find the biggest common factor number .

Step-1: Prime Factorization of 9861

Prime factors of 9861 are 3, 19, 173. Prime factorization of 9861 in exponential form is:

9861 = 3¹ × 19¹ × 173¹

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 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1, 3, 19, 57, 173, 519, 3287

Step-4: Factors of 9879

List of positive integer factors of 9879 that divides 9861 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9861 and 9879. The biggest common factor number is the GCF number.
So the greatest common factor 9861 and 9879 is 3.

Also check out the Least Common Multiple of 9861 and 9879