What is the Greatest Common Factor of 98300 and 98318?

Greatest common factor (GCF) of 98300 and 98318 is 2.

GCF(98300,98318) = 2

We will now calculate the prime factors of 98300 and 98318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98300 and 98318.

How to find the GCF of 98300 and 98318?

We will first find the prime factorization of 98300 and 98318. After we will calculate the factors of 98300 and 98318 and find the biggest common factor number .

Step-1: Prime Factorization of 98300

Prime factors of 98300 are 2, 5, 983. Prime factorization of 98300 in exponential form is:

98300 = 2² × 5² × 983¹

Step-2: Prime Factorization of 98318

Prime factors of 98318 are 2, 11, 41, 109. Prime factorization of 98318 in exponential form is:

98318 = 2¹ × 11¹ × 41¹ × 109¹

Step-3: Factors of 98300

List of positive integer factors of 98300 that divides 98300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 983, 1966, 3932, 4915, 9830, 19660, 24575, 49150

Step-4: Factors of 98318

List of positive integer factors of 98318 that divides 98300 without a remainder.

1, 2, 11, 22, 41, 82, 109, 218, 451, 902, 1199, 2398, 4469, 8938, 49159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98300 and 98318. The biggest common factor number is the GCF number.
So the greatest common factor 98300 and 98318 is 2.

Also check out the Least Common Multiple of 98300 and 98318