What is the Greatest Common Factor of 98728 and 98737?

Greatest common factor (GCF) of 98728 and 98737 is 1.

GCF(98728,98737) = 1

We will now calculate the prime factors of 98728 and 98737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98728 and 98737.

How to find the GCF of 98728 and 98737?

We will first find the prime factorization of 98728 and 98737. After we will calculate the factors of 98728 and 98737 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 98737

Prime factors of 98737 are 98737. Prime factorization of 98737 in exponential form is:

98737 = 98737¹

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 98737

List of positive integer factors of 98737 that divides 98728 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98728 and 98737. The biggest common factor number is the GCF number.
So the greatest common factor 98728 and 98737 is 1.

Also check out the Least Common Multiple of 98728 and 98737