What is the Greatest Common Factor of 98498 and 98502?

Greatest common factor (GCF) of 98498 and 98502 is 2.

GCF(98498,98502) = 2

We will now calculate the prime factors of 98498 and 98502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98498 and 98502.

How to find the GCF of 98498 and 98502?

We will first find the prime factorization of 98498 and 98502. After we will calculate the factors of 98498 and 98502 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 98502

Prime factors of 98502 are 2, 3, 16417. Prime factorization of 98502 in exponential form is:

98502 = 2¹ × 3¹ × 16417¹

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 98502

List of positive integer factors of 98502 that divides 98498 without a remainder.

1, 2, 3, 6, 16417, 32834, 49251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98498 and 98502. The biggest common factor number is the GCF number.
So the greatest common factor 98498 and 98502 is 2.

Also check out the Least Common Multiple of 98498 and 98502