What is the Greatest Common Factor of 98509 and 98518?

Greatest common factor (GCF) of 98509 and 98518 is 1.

GCF(98509,98518) = 1

We will now calculate the prime factors of 98509 and 98518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98509 and 98518.

How to find the GCF of 98509 and 98518?

We will first find the prime factorization of 98509 and 98518. After we will calculate the factors of 98509 and 98518 and find the biggest common factor number .

Step-1: Prime Factorization of 98509

Prime factors of 98509 are 23, 4283. Prime factorization of 98509 in exponential form is:

98509 = 23¹ × 4283¹

Step-2: Prime Factorization of 98518

Prime factors of 98518 are 2, 7, 31, 227. Prime factorization of 98518 in exponential form is:

98518 = 2¹ × 7¹ × 31¹ × 227¹

Step-3: Factors of 98509

List of positive integer factors of 98509 that divides 98509 without a remainder.

1, 23, 4283

Step-4: Factors of 98518

List of positive integer factors of 98518 that divides 98509 without a remainder.

1, 2, 7, 14, 31, 62, 217, 227, 434, 454, 1589, 3178, 7037, 14074, 49259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98509 and 98518. The biggest common factor number is the GCF number.
So the greatest common factor 98509 and 98518 is 1.

Also check out the Least Common Multiple of 98509 and 98518