What is the Greatest Common Factor of 98164 and 98184?

Greatest common factor (GCF) of 98164 and 98184 is 4.

GCF(98164,98184) = 4

We will now calculate the prime factors of 98164 and 98184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98164 and 98184.

How to find the GCF of 98164 and 98184?

We will first find the prime factorization of 98164 and 98184. After we will calculate the factors of 98164 and 98184 and find the biggest common factor number .

Step-1: Prime Factorization of 98164

Prime factors of 98164 are 2, 11, 23, 97. Prime factorization of 98164 in exponential form is:

98164 = 2² × 11¹ × 23¹ × 97¹

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 98164

List of positive integer factors of 98164 that divides 98164 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 97, 194, 253, 388, 506, 1012, 1067, 2134, 2231, 4268, 4462, 8924, 24541, 49082

Step-4: Factors of 98184

List of positive integer factors of 98184 that divides 98164 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 98164 and 98184. The biggest common factor number is the GCF number.
So the greatest common factor 98164 and 98184 is 4.

Also check out the Least Common Multiple of 98164 and 98184