What is the Greatest Common Factor of 99830 and 99850?

Greatest common factor (GCF) of 99830 and 99850 is 10.

GCF(99830,99850) = 10

We will now calculate the prime factors of 99830 and 99850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99830 and 99850.

How to find the GCF of 99830 and 99850?

We will first find the prime factorization of 99830 and 99850. After we will calculate the factors of 99830 and 99850 and find the biggest common factor number .

Step-1: Prime Factorization of 99830

Prime factors of 99830 are 2, 5, 67, 149. Prime factorization of 99830 in exponential form is:

99830 = 2¹ × 5¹ × 67¹ × 149¹

Step-2: 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-3: Factors of 99830

List of positive integer factors of 99830 that divides 99830 without a remainder.

1, 2, 5, 10, 67, 134, 149, 298, 335, 670, 745, 1490, 9983, 19966, 49915

Step-4: Factors of 99850

List of positive integer factors of 99850 that divides 99830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99830 and 99850. The biggest common factor number is the GCF number.
So the greatest common factor 99830 and 99850 is 10.

Also check out the Least Common Multiple of 99830 and 99850