What is the Greatest Common Factor of 99365 and 99383?

Greatest common factor (GCF) of 99365 and 99383 is 1.

GCF(99365,99383) = 1

We will now calculate the prime factors of 99365 and 99383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99365 and 99383.

How to find the GCF of 99365 and 99383?

We will first find the prime factorization of 99365 and 99383. After we will calculate the factors of 99365 and 99383 and find the biggest common factor number .

Step-1: Prime Factorization of 99365

Prime factors of 99365 are 5, 7, 17, 167. Prime factorization of 99365 in exponential form is:

99365 = 5¹ × 7¹ × 17¹ × 167¹

Step-2: Prime Factorization of 99383

Prime factors of 99383 are 23, 29, 149. Prime factorization of 99383 in exponential form is:

99383 = 23¹ × 29¹ × 149¹

Step-3: Factors of 99365

List of positive integer factors of 99365 that divides 99365 without a remainder.

1, 5, 7, 17, 35, 85, 119, 167, 595, 835, 1169, 2839, 5845, 14195, 19873

Step-4: Factors of 99383

List of positive integer factors of 99383 that divides 99365 without a remainder.

1, 23, 29, 149, 667, 3427, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99365 and 99383. The biggest common factor number is the GCF number.
So the greatest common factor 99365 and 99383 is 1.

Also check out the Least Common Multiple of 99365 and 99383