What is the Greatest Common Factor of 99843 and 99849?

Greatest common factor (GCF) of 99843 and 99849 is 3.

GCF(99843,99849) = 3

We will now calculate the prime factors of 99843 and 99849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99843 and 99849.

How to find the GCF of 99843 and 99849?

We will first find the prime factorization of 99843 and 99849. After we will calculate the factors of 99843 and 99849 and find the biggest common factor number .

Step-1: Prime Factorization of 99843

Prime factors of 99843 are 3, 23, 1447. Prime factorization of 99843 in exponential form is:

99843 = 3¹ × 23¹ × 1447¹

Step-2: Prime Factorization of 99849

Prime factors of 99849 are 3, 83, 401. Prime factorization of 99849 in exponential form is:

99849 = 3¹ × 83¹ × 401¹

Step-3: Factors of 99843

List of positive integer factors of 99843 that divides 99843 without a remainder.

1, 3, 23, 69, 1447, 4341, 33281

Step-4: Factors of 99849

List of positive integer factors of 99849 that divides 99843 without a remainder.

1, 3, 83, 249, 401, 1203, 33283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99843 and 99849. The biggest common factor number is the GCF number.
So the greatest common factor 99843 and 99849 is 3.

Also check out the Least Common Multiple of 99843 and 99849