What is the Greatest Common Factor of 98172 and 98184?

Greatest common factor (GCF) of 98172 and 98184 is 12.

GCF(98172,98184) = 12

We will now calculate the prime factors of 98172 and 98184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98172 and 98184.

How to find the GCF of 98172 and 98184?

We will first find the prime factorization of 98172 and 98184. After we will calculate the factors of 98172 and 98184 and find the biggest common factor number .

Step-1: Prime Factorization of 98172

Prime factors of 98172 are 2, 3, 101. Prime factorization of 98172 in exponential form is:

98172 = 2² × 3⁵ × 101¹

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 98172

List of positive integer factors of 98172 that divides 98172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 243, 303, 324, 404, 486, 606, 909, 972, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362, 24543, 32724, 49086

Step-4: Factors of 98184

List of positive integer factors of 98184 that divides 98172 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 98172 and 98184. The biggest common factor number is the GCF number.
So the greatest common factor 98172 and 98184 is 12.

Also check out the Least Common Multiple of 98172 and 98184