What is the Greatest Common Factor of 98728 and 98738?

Greatest common factor (GCF) of 98728 and 98738 is 2.

GCF(98728,98738) = 2

We will now calculate the prime factors of 98728 and 98738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98728 and 98738.

How to find the GCF of 98728 and 98738?

We will first find the prime factorization of 98728 and 98738. After we will calculate the factors of 98728 and 98738 and find the biggest common factor number .

Step-1: Prime Factorization of 98728

Prime factors of 98728 are 2, 7, 41, 43. Prime factorization of 98728 in exponential form is:

98728 = 2³ × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 98738

Prime factors of 98738 are 2, 49369. Prime factorization of 98738 in exponential form is:

98738 = 2¹ × 49369¹

Step-3: Factors of 98728

List of positive integer factors of 98728 that divides 98728 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 43, 56, 82, 86, 164, 172, 287, 301, 328, 344, 574, 602, 1148, 1204, 1763, 2296, 2408, 3526, 7052, 12341, 14104, 24682, 49364

Step-4: Factors of 98738

List of positive integer factors of 98738 that divides 98728 without a remainder.

1, 2, 49369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98728 and 98738. The biggest common factor number is the GCF number.
So the greatest common factor 98728 and 98738 is 2.

Also check out the Least Common Multiple of 98728 and 98738