What is the Greatest Common Factor of 99789 and 99801?

Greatest common factor (GCF) of 99789 and 99801 is 3.

GCF(99789,99801) = 3

We will now calculate the prime factors of 99789 and 99801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99789 and 99801.

How to find the GCF of 99789 and 99801?

We will first find the prime factorization of 99789 and 99801. After we will calculate the factors of 99789 and 99801 and find the biggest common factor number .

Step-1: Prime Factorization of 99789

Prime factors of 99789 are 3, 29, 31, 37. Prime factorization of 99789 in exponential form is:

99789 = 3¹ × 29¹ × 31¹ × 37¹

Step-2: Prime Factorization of 99801

Prime factors of 99801 are 3, 13, 853. Prime factorization of 99801 in exponential form is:

99801 = 3² × 13¹ × 853¹

Step-3: Factors of 99789

List of positive integer factors of 99789 that divides 99789 without a remainder.

1, 3, 29, 31, 37, 87, 93, 111, 899, 1073, 1147, 2697, 3219, 3441, 33263

Step-4: Factors of 99801

List of positive integer factors of 99801 that divides 99789 without a remainder.

1, 3, 9, 13, 39, 117, 853, 2559, 7677, 11089, 33267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99789 and 99801. The biggest common factor number is the GCF number.
So the greatest common factor 99789 and 99801 is 3.

Also check out the Least Common Multiple of 99789 and 99801