What is the Greatest Common Factor of 99365 and 99370?

Greatest common factor (GCF) of 99365 and 99370 is 5.

GCF(99365,99370) = 5

We will now calculate the prime factors of 99365 and 99370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99365 and 99370.

How to find the GCF of 99365 and 99370?

We will first find the prime factorization of 99365 and 99370. After we will calculate the factors of 99365 and 99370 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 99370

Prime factors of 99370 are 2, 5, 19, 523. Prime factorization of 99370 in exponential form is:

99370 = 2¹ × 5¹ × 19¹ × 523¹

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 99370

List of positive integer factors of 99370 that divides 99365 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 523, 1046, 2615, 5230, 9937, 19874, 49685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99365 and 99370. The biggest common factor number is the GCF number.
So the greatest common factor 99365 and 99370 is 5.

Also check out the Least Common Multiple of 99365 and 99370