What is the Greatest Common Factor of 99837 and 99844?

Greatest common factor (GCF) of 99837 and 99844 is 1.

GCF(99837,99844) = 1

We will now calculate the prime factors of 99837 and 99844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99837 and 99844.

How to find the GCF of 99837 and 99844?

We will first find the prime factorization of 99837 and 99844. After we will calculate the factors of 99837 and 99844 and find the biggest common factor number .

Step-1: Prime Factorization of 99837

Prime factors of 99837 are 3, 11093. Prime factorization of 99837 in exponential form is:

99837 = 3² × 11093¹

Step-2: Prime Factorization of 99844

Prime factors of 99844 are 2, 109, 229. Prime factorization of 99844 in exponential form is:

99844 = 2² × 109¹ × 229¹

Step-3: Factors of 99837

List of positive integer factors of 99837 that divides 99837 without a remainder.

1, 3, 9, 11093, 33279

Step-4: Factors of 99844

List of positive integer factors of 99844 that divides 99837 without a remainder.

1, 2, 4, 109, 218, 229, 436, 458, 916, 24961, 49922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99837 and 99844. The biggest common factor number is the GCF number.
So the greatest common factor 99837 and 99844 is 1.

Also check out the Least Common Multiple of 99837 and 99844