What is the Greatest Common Factor of 98174 and 98184?

Greatest common factor (GCF) of 98174 and 98184 is 2.

GCF(98174,98184) = 2

We will now calculate the prime factors of 98174 and 98184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98174 and 98184.

How to find the GCF of 98174 and 98184?

We will first find the prime factorization of 98174 and 98184. After we will calculate the factors of 98174 and 98184 and find the biggest common factor number .

Step-1: Prime Factorization of 98174

Prime factors of 98174 are 2, 191, 257. Prime factorization of 98174 in exponential form is:

98174 = 2¹ × 191¹ × 257¹

Step-2: 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-3: Factors of 98174

List of positive integer factors of 98174 that divides 98174 without a remainder.

1, 2, 191, 257, 382, 514, 49087

Step-4: Factors of 98184

List of positive integer factors of 98184 that divides 98174 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98174 and 98184. The biggest common factor number is the GCF number.
So the greatest common factor 98174 and 98184 is 2.

Also check out the Least Common Multiple of 98174 and 98184