What is the Greatest Common Factor of 9849 and 9858?

Greatest common factor (GCF) of 9849 and 9858 is 3.

GCF(9849,9858) = 3

We will now calculate the prime factors of 9849 and 9858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9849 and 9858.

How to find the GCF of 9849 and 9858?

We will first find the prime factorization of 9849 and 9858. After we will calculate the factors of 9849 and 9858 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 9858

Prime factors of 9858 are 2, 3, 31, 53. Prime factorization of 9858 in exponential form is:

9858 = 2¹ × 3¹ × 31¹ × 53¹

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 9858

List of positive integer factors of 9858 that divides 9849 without a remainder.

1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9849 and 9858. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9858 is 3.

Also check out the Least Common Multiple of 9849 and 9858