What is the Greatest Common Factor of 9849 and 9862?

Greatest common factor (GCF) of 9849 and 9862 is 1.

GCF(9849,9862) = 1

We will now calculate the prime factors of 9849 and 9862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9849 and 9862.

How to find the GCF of 9849 and 9862?

We will first find the prime factorization of 9849 and 9862. After we will calculate the factors of 9849 and 9862 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 9862

Prime factors of 9862 are 2, 4931. Prime factorization of 9862 in exponential form is:

9862 = 2¹ × 4931¹

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 9862

List of positive integer factors of 9862 that divides 9849 without a remainder.

1, 2, 4931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9849 and 9862. The biggest common factor number is the GCF number.
So the greatest common factor 9849 and 9862 is 1.

Also check out the Least Common Multiple of 9849 and 9862