What is the Greatest Common Factor of 98300 and 98308?

Greatest common factor (GCF) of 98300 and 98308 is 4.

GCF(98300,98308) = 4

We will now calculate the prime factors of 98300 and 98308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98300 and 98308.

How to find the GCF of 98300 and 98308?

We will first find the prime factorization of 98300 and 98308. After we will calculate the factors of 98300 and 98308 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 98308

Prime factors of 98308 are 2, 7, 3511. Prime factorization of 98308 in exponential form is:

98308 = 2² × 7¹ × 3511¹

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 98308

List of positive integer factors of 98308 that divides 98300 without a remainder.

1, 2, 4, 7, 14, 28, 3511, 7022, 14044, 24577, 49154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98300 and 98308. The biggest common factor number is the GCF number.
So the greatest common factor 98300 and 98308 is 4.

Also check out the Least Common Multiple of 98300 and 98308