What is the Greatest Common Factor of 99802 and 99818?

Greatest common factor (GCF) of 99802 and 99818 is 2.

GCF(99802,99818) = 2

We will now calculate the prime factors of 99802 and 99818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99802 and 99818.

How to find the GCF of 99802 and 99818?

We will first find the prime factorization of 99802 and 99818. After we will calculate the factors of 99802 and 99818 and find the biggest common factor number .

Step-1: Prime Factorization of 99802

Prime factors of 99802 are 2, 139, 359. Prime factorization of 99802 in exponential form is:

99802 = 2¹ × 139¹ × 359¹

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 99802

List of positive integer factors of 99802 that divides 99802 without a remainder.

1, 2, 139, 278, 359, 718, 49901

Step-4: Factors of 99818

List of positive integer factors of 99818 that divides 99802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99802 and 99818. The biggest common factor number is the GCF number.
So the greatest common factor 99802 and 99818 is 2.

Also check out the Least Common Multiple of 99802 and 99818