What is the Greatest Common Factor of 98705 and 98716?

Greatest common factor (GCF) of 98705 and 98716 is 1.

GCF(98705,98716) = 1

We will now calculate the prime factors of 98705 and 98716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98705 and 98716.

How to find the GCF of 98705 and 98716?

We will first find the prime factorization of 98705 and 98716. After we will calculate the factors of 98705 and 98716 and find the biggest common factor number .

Step-1: Prime Factorization of 98705

Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:

98705 = 5¹ × 19¹ × 1039¹

Step-2: Prime Factorization of 98716

Prime factors of 98716 are 2, 23, 29, 37. Prime factorization of 98716 in exponential form is:

98716 = 2² × 23¹ × 29¹ × 37¹

Step-3: Factors of 98705

List of positive integer factors of 98705 that divides 98705 without a remainder.

1, 5, 19, 95, 1039, 5195, 19741

Step-4: Factors of 98716

List of positive integer factors of 98716 that divides 98705 without a remainder.

1, 2, 4, 23, 29, 37, 46, 58, 74, 92, 116, 148, 667, 851, 1073, 1334, 1702, 2146, 2668, 3404, 4292, 24679, 49358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98705 and 98716. The biggest common factor number is the GCF number.
So the greatest common factor 98705 and 98716 is 1.

Also check out the Least Common Multiple of 98705 and 98716