What is the Greatest Common Factor of 98381 and 98395?

Greatest common factor (GCF) of 98381 and 98395 is 1.

GCF(98381,98395) = 1

We will now calculate the prime factors of 98381 and 98395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98381 and 98395.

How to find the GCF of 98381 and 98395?

We will first find the prime factorization of 98381 and 98395. After we will calculate the factors of 98381 and 98395 and find the biggest common factor number .

Step-1: Prime Factorization of 98381

Prime factors of 98381 are 131, 751. Prime factorization of 98381 in exponential form is:

98381 = 131¹ × 751¹

Step-2: Prime Factorization of 98395

Prime factors of 98395 are 5, 11, 1789. Prime factorization of 98395 in exponential form is:

98395 = 5¹ × 11¹ × 1789¹

Step-3: Factors of 98381

List of positive integer factors of 98381 that divides 98381 without a remainder.

1, 131, 751

Step-4: Factors of 98395

List of positive integer factors of 98395 that divides 98381 without a remainder.

1, 5, 11, 55, 1789, 8945, 19679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98381 and 98395. The biggest common factor number is the GCF number.
So the greatest common factor 98381 and 98395 is 1.

Also check out the Least Common Multiple of 98381 and 98395