What is the Greatest Common Factor of 9867 and 9873?

Greatest common factor (GCF) of 9867 and 9873 is 3.

GCF(9867,9873) = 3

We will now calculate the prime factors of 9867 and 9873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9867 and 9873.

How to find the GCF of 9867 and 9873?

We will first find the prime factorization of 9867 and 9873. After we will calculate the factors of 9867 and 9873 and find the biggest common factor number .

Step-1: Prime Factorization of 9867

Prime factors of 9867 are 3, 11, 13, 23. Prime factorization of 9867 in exponential form is:

9867 = 3¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 9873

Prime factors of 9873 are 3, 1097. Prime factorization of 9873 in exponential form is:

9873 = 3² × 1097¹

Step-3: Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289

Step-4: Factors of 9873

List of positive integer factors of 9873 that divides 9867 without a remainder.

1, 3, 9, 1097, 3291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9867 and 9873. The biggest common factor number is the GCF number.
So the greatest common factor 9867 and 9873 is 3.

Also check out the Least Common Multiple of 9867 and 9873