What is the Greatest Common Factor of 99798 and 99818?

Greatest common factor (GCF) of 99798 and 99818 is 2.

GCF(99798,99818) = 2

We will now calculate the prime factors of 99798 and 99818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99798 and 99818.

How to find the GCF of 99798 and 99818?

We will first find the prime factorization of 99798 and 99818. After we will calculate the factors of 99798 and 99818 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 99818

Prime factors of 99818 are 2, 29, 1721. Prime factorization of 99818 in exponential form is:

99818 = 2¹ × 29¹ × 1721¹

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 99818

List of positive integer factors of 99818 that divides 99798 without a remainder.

1, 2, 29, 58, 1721, 3442, 49909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99798 and 99818. The biggest common factor number is the GCF number.
So the greatest common factor 99798 and 99818 is 2.

Also check out the Least Common Multiple of 99798 and 99818