What is the Greatest Common Factor of 99789 and 99799?

Greatest common factor (GCF) of 99789 and 99799 is 1.

GCF(99789,99799) = 1

We will now calculate the prime factors of 99789 and 99799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99789 and 99799.

How to find the GCF of 99789 and 99799?

We will first find the prime factorization of 99789 and 99799. After we will calculate the factors of 99789 and 99799 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 99799

Prime factors of 99799 are 7, 53, 269. Prime factorization of 99799 in exponential form is:

99799 = 7¹ × 53¹ × 269¹

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 99799

List of positive integer factors of 99799 that divides 99789 without a remainder.

1, 7, 53, 269, 371, 1883, 14257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99789 and 99799. The biggest common factor number is the GCF number.
So the greatest common factor 99789 and 99799 is 1.

Also check out the Least Common Multiple of 99789 and 99799