What is the Greatest Common Factor of 9849 and 9867?

Greatest common factor (GCF) of 9849 and 9867 is 3.

GCF(9849,9867) = 3

We will now calculate the prime factors of 9849 and 9867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9849 and 9867.

How to find the GCF of 9849 and 9867?

We will first find the prime factorization of 9849 and 9867. After we will calculate the factors of 9849 and 9867 and find the biggest common factor number .

Step-1: Prime Factorization of 9849

Prime factors of 9849 are 3, 7, 67. Prime factorization of 9849 in exponential form is:

9849 = 3¹ × 7² × 67¹

Step-2: 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-3: Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283

Step-4: Factors of 9867

List of positive integer factors of 9867 that divides 9849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9849 and 9867. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9867 is 3.

Also check out the Least Common Multiple of 9849 and 9867