What is the Greatest Common Factor of 98184 and 98196?

Greatest common factor (GCF) of 98184 and 98196 is 12.

GCF(98184,98196) = 12

We will now calculate the prime factors of 98184 and 98196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98184 and 98196.

How to find the GCF of 98184 and 98196?

We will first find the prime factorization of 98184 and 98196. After we will calculate the factors of 98184 and 98196 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 98196

Prime factors of 98196 are 2, 3, 7, 167. Prime factorization of 98196 in exponential form is:

98196 = 2² × 3¹ × 7² × 167¹

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 98196

List of positive integer factors of 98196 that divides 98184 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 167, 196, 294, 334, 501, 588, 668, 1002, 1169, 2004, 2338, 3507, 4676, 7014, 8183, 14028, 16366, 24549, 32732, 49098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98184 and 98196. The biggest common factor number is the GCF number.
So the greatest common factor 98184 and 98196 is 12.

Also check out the Least Common Multiple of 98184 and 98196