What is the Greatest Common Factor of 98300 and 98305?

Greatest common factor (GCF) of 98300 and 98305 is 5.

GCF(98300,98305) = 5

We will now calculate the prime factors of 98300 and 98305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98300 and 98305.

How to find the GCF of 98300 and 98305?

We will first find the prime factorization of 98300 and 98305. After we will calculate the factors of 98300 and 98305 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 98305

Prime factors of 98305 are 5, 19661. Prime factorization of 98305 in exponential form is:

98305 = 5¹ × 19661¹

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 98305

List of positive integer factors of 98305 that divides 98300 without a remainder.

1, 5, 19661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98300 and 98305. The biggest common factor number is the GCF number.
So the greatest common factor 98300 and 98305 is 5.

Also check out the Least Common Multiple of 98300 and 98305