What is the Greatest Common Factor of 99873 and 99882?

Greatest common factor (GCF) of 99873 and 99882 is 9.

GCF(99873,99882) = 9

We will now calculate the prime factors of 99873 and 99882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99873 and 99882.

How to find the GCF of 99873 and 99882?

We will first find the prime factorization of 99873 and 99882. After we will calculate the factors of 99873 and 99882 and find the biggest common factor number .

Step-1: Prime Factorization of 99873

Prime factors of 99873 are 3, 137. Prime factorization of 99873 in exponential form is:

99873 = 3⁶ × 137¹

Step-2: Prime Factorization of 99882

Prime factors of 99882 are 2, 3, 31, 179. Prime factorization of 99882 in exponential form is:

99882 = 2¹ × 3² × 31¹ × 179¹

Step-3: Factors of 99873

List of positive integer factors of 99873 that divides 99873 without a remainder.

1, 3, 9, 27, 81, 137, 243, 411, 729, 1233, 3699, 11097, 33291

Step-4: Factors of 99882

List of positive integer factors of 99882 that divides 99873 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 179, 186, 279, 358, 537, 558, 1074, 1611, 3222, 5549, 11098, 16647, 33294, 49941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99873 and 99882. The biggest common factor number is the GCF number.
So the greatest common factor 99873 and 99882 is 9.

Also check out the Least Common Multiple of 99873 and 99882