What is the Greatest Common Factor of 99850 and 99855?

Greatest common factor (GCF) of 99850 and 99855 is 5.

GCF(99850,99855) = 5

We will now calculate the prime factors of 99850 and 99855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99850 and 99855.

How to find the GCF of 99850 and 99855?

We will first find the prime factorization of 99850 and 99855. After we will calculate the factors of 99850 and 99855 and find the biggest common factor number .

Step-1: Prime Factorization of 99850

Prime factors of 99850 are 2, 5, 1997. Prime factorization of 99850 in exponential form is:

99850 = 2¹ × 5² × 1997¹

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 99850

List of positive integer factors of 99850 that divides 99850 without a remainder.

1, 2, 5, 10, 25, 50, 1997, 3994, 9985, 19970, 49925

Step-4: Factors of 99855

List of positive integer factors of 99855 that divides 99850 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 99850 and 99855. The biggest common factor number is the GCF number.
So the greatest common factor 99850 and 99855 is 5.

Also check out the Least Common Multiple of 99850 and 99855