What is the Greatest Common Factor of 9879 and 9896?

Greatest common factor (GCF) of 9879 and 9896 is 1.

GCF(9879,9896) = 1

We will now calculate the prime factors of 9879 and 9896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9879 and 9896.

How to find the GCF of 9879 and 9896?

We will first find the prime factorization of 9879 and 9896. After we will calculate the factors of 9879 and 9896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9896

Prime factors of 9896 are 2, 1237. Prime factorization of 9896 in exponential form is:

9896 = 2³ × 1237¹

Step-3: Factors of 9879

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

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

Step-4: Factors of 9896

List of positive integer factors of 9896 that divides 9879 without a remainder.

1, 2, 4, 8, 1237, 2474, 4948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9879 and 9896. The biggest common factor number is the GCF number.
So the greatest common factor 9879 and 9896 is 1.

Also check out the Least Common Multiple of 9879 and 9896