What is the Greatest Common Factor of 99845 and 99855?

Greatest common factor (GCF) of 99845 and 99855 is 5.

GCF(99845,99855) = 5

We will now calculate the prime factors of 99845 and 99855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99845 and 99855.

How to find the GCF of 99845 and 99855?

We will first find the prime factorization of 99845 and 99855. After we will calculate the factors of 99845 and 99855 and find the biggest common factor number .

Step-1: Prime Factorization of 99845

Prime factors of 99845 are 5, 19, 1051. Prime factorization of 99845 in exponential form is:

99845 = 5¹ × 19¹ × 1051¹

Step-2: Prime Factorization of 99855

Prime factors of 99855 are 3, 5, 7, 317. Prime factorization of 99855 in exponential form is:

99855 = 3² × 5¹ × 7¹ × 317¹

Step-3: Factors of 99845

List of positive integer factors of 99845 that divides 99845 without a remainder.

1, 5, 19, 95, 1051, 5255, 19969

Step-4: Factors of 99855

List of positive integer factors of 99855 that divides 99845 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315, 317, 951, 1585, 2219, 2853, 4755, 6657, 11095, 14265, 19971, 33285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99845 and 99855. The biggest common factor number is the GCF number.
So the greatest common factor 99845 and 99855 is 5.

Also check out the Least Common Multiple of 99845 and 99855