What is the Greatest Common Factor of 99798 and 99805?

Greatest common factor (GCF) of 99798 and 99805 is 1.

GCF(99798,99805) = 1

We will now calculate the prime factors of 99798 and 99805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99798 and 99805.

How to find the GCF of 99798 and 99805?

We will first find the prime factorization of 99798 and 99805. After we will calculate the factors of 99798 and 99805 and find the biggest common factor number .

Step-1: Prime Factorization of 99798

Prime factors of 99798 are 2, 3, 16633. Prime factorization of 99798 in exponential form is:

99798 = 2¹ × 3¹ × 16633¹

Step-2: Prime Factorization of 99805

Prime factors of 99805 are 5, 19961. Prime factorization of 99805 in exponential form is:

99805 = 5¹ × 19961¹

Step-3: Factors of 99798

List of positive integer factors of 99798 that divides 99798 without a remainder.

1, 2, 3, 6, 16633, 33266, 49899

Step-4: Factors of 99805

List of positive integer factors of 99805 that divides 99798 without a remainder.

1, 5, 19961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99798 and 99805. The biggest common factor number is the GCF number.
So the greatest common factor 99798 and 99805 is 1.

Also check out the Least Common Multiple of 99798 and 99805