What is the Greatest Common Factor of 9849 and 9854?

Greatest common factor (GCF) of 9849 and 9854 is 1.

GCF(9849,9854) = 1

We will now calculate the prime factors of 9849 and 9854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9849 and 9854.

How to find the GCF of 9849 and 9854?

We will first find the prime factorization of 9849 and 9854. After we will calculate the factors of 9849 and 9854 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 9854

Prime factors of 9854 are 2, 13, 379. Prime factorization of 9854 in exponential form is:

9854 = 2¹ × 13¹ × 379¹

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 9854

List of positive integer factors of 9854 that divides 9849 without a remainder.

1, 2, 13, 26, 379, 758, 4927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9849 and 9854. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9854 is 1.

Also check out the Least Common Multiple of 9849 and 9854