What is the Greatest Common Factor of 98170 and 98184?

Greatest common factor (GCF) of 98170 and 98184 is 2.

GCF(98170,98184) = 2

We will now calculate the prime factors of 98170 and 98184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98170 and 98184.

How to find the GCF of 98170 and 98184?

We will first find the prime factorization of 98170 and 98184. After we will calculate the factors of 98170 and 98184 and find the biggest common factor number .

Step-1: Prime Factorization of 98170

Prime factors of 98170 are 2, 5, 9817. Prime factorization of 98170 in exponential form is:

98170 = 2¹ × 5¹ × 9817¹

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 98170

List of positive integer factors of 98170 that divides 98170 without a remainder.

1, 2, 5, 10, 9817, 19634, 49085

Step-4: Factors of 98184

List of positive integer factors of 98184 that divides 98170 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 98170 and 98184. The biggest common factor number is the GCF number.
So the greatest common factor 98170 and 98184 is 2.

Also check out the Least Common Multiple of 98170 and 98184