What is the Greatest Common Factor of 98286 and 98300?

Greatest common factor (GCF) of 98286 and 98300 is 2.

GCF(98286,98300) = 2

We will now calculate the prime factors of 98286 and 98300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98286 and 98300.

How to find the GCF of 98286 and 98300?

We will first find the prime factorization of 98286 and 98300. After we will calculate the factors of 98286 and 98300 and find the biggest common factor number .

Step-1: Prime Factorization of 98286

Prime factors of 98286 are 2, 3, 16381. Prime factorization of 98286 in exponential form is:

98286 = 2¹ × 3¹ × 16381¹

Step-2: 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-3: Factors of 98286

List of positive integer factors of 98286 that divides 98286 without a remainder.

1, 2, 3, 6, 16381, 32762, 49143

Step-4: Factors of 98300

List of positive integer factors of 98300 that divides 98286 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98286 and 98300. The biggest common factor number is the GCF number.
So the greatest common factor 98286 and 98300 is 2.

Also check out the Least Common Multiple of 98286 and 98300