What is the Greatest Common Factor of 98498 and 98516?

Greatest common factor (GCF) of 98498 and 98516 is 2.

GCF(98498,98516) = 2

We will now calculate the prime factors of 98498 and 98516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98498 and 98516.

How to find the GCF of 98498 and 98516?

We will first find the prime factorization of 98498 and 98516. After we will calculate the factors of 98498 and 98516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98516

Prime factors of 98516 are 2, 11, 2239. Prime factorization of 98516 in exponential form is:

98516 = 2² × 11¹ × 2239¹

Step-3: Factors of 98498

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

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

Step-4: Factors of 98516

List of positive integer factors of 98516 that divides 98498 without a remainder.

1, 2, 4, 11, 22, 44, 2239, 4478, 8956, 24629, 49258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98498 and 98516. The biggest common factor number is the GCF number.
So the greatest common factor 98498 and 98516 is 2.

Also check out the Least Common Multiple of 98498 and 98516