What is the Greatest Common Factor of 98504 and 98518?

Greatest common factor (GCF) of 98504 and 98518 is 14.

GCF(98504,98518) = 14

We will now calculate the prime factors of 98504 and 98518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98504 and 98518.

How to find the GCF of 98504 and 98518?

We will first find the prime factorization of 98504 and 98518. After we will calculate the factors of 98504 and 98518 and find the biggest common factor number .

Step-1: Prime Factorization of 98504

Prime factors of 98504 are 2, 7, 1759. Prime factorization of 98504 in exponential form is:

98504 = 2³ × 7¹ × 1759¹

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 98504

List of positive integer factors of 98504 that divides 98504 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1759, 3518, 7036, 12313, 14072, 24626, 49252

Step-4: Factors of 98518

List of positive integer factors of 98518 that divides 98504 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 98504 and 98518. The biggest common factor number is the GCF number.
So the greatest common factor 98504 and 98518 is 14.

Also check out the Least Common Multiple of 98504 and 98518