What is the Greatest Common Factor of 98184 and 98200?

Greatest common factor (GCF) of 98184 and 98200 is 8.

GCF(98184,98200) = 8

We will now calculate the prime factors of 98184 and 98200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98184 and 98200.

How to find the GCF of 98184 and 98200?

We will first find the prime factorization of 98184 and 98200. After we will calculate the factors of 98184 and 98200 and find the biggest common factor number .

Step-1: Prime Factorization of 98184

Prime factors of 98184 are 2, 3, 4091. Prime factorization of 98184 in exponential form is:

98184 = 2³ × 3¹ × 4091¹

Step-2: Prime Factorization of 98200

Prime factors of 98200 are 2, 5, 491. Prime factorization of 98200 in exponential form is:

98200 = 2³ × 5² × 491¹

Step-3: Factors of 98184

List of positive integer factors of 98184 that divides 98184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4091, 8182, 12273, 16364, 24546, 32728, 49092

Step-4: Factors of 98200

List of positive integer factors of 98200 that divides 98184 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 491, 982, 1964, 2455, 3928, 4910, 9820, 12275, 19640, 24550, 49100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98184 and 98200. The biggest common factor number is the GCF number.
So the greatest common factor 98184 and 98200 is 8.

Also check out the Least Common Multiple of 98184 and 98200