What is the Greatest Common Factor of 98484 and 98498?

Greatest common factor (GCF) of 98484 and 98498 is 2.

GCF(98484,98498) = 2

We will now calculate the prime factors of 98484 and 98498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98484 and 98498.

How to find the GCF of 98484 and 98498?

We will first find the prime factorization of 98484 and 98498. After we will calculate the factors of 98484 and 98498 and find the biggest common factor number .

Step-1: Prime Factorization of 98484

Prime factors of 98484 are 2, 3, 29, 283. Prime factorization of 98484 in exponential form is:

98484 = 2² × 3¹ × 29¹ × 283¹

Step-2: Prime Factorization of 98498

Prime factors of 98498 are 2, 17, 2897. Prime factorization of 98498 in exponential form is:

98498 = 2¹ × 17¹ × 2897¹

Step-3: Factors of 98484

List of positive integer factors of 98484 that divides 98484 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 283, 348, 566, 849, 1132, 1698, 3396, 8207, 16414, 24621, 32828, 49242

Step-4: Factors of 98498

List of positive integer factors of 98498 that divides 98484 without a remainder.

1, 2, 17, 34, 2897, 5794, 49249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98484 and 98498. The biggest common factor number is the GCF number.
So the greatest common factor 98484 and 98498 is 2.

Also check out the Least Common Multiple of 98484 and 98498