What is the Greatest Common Factor of 98381 and 98397?

Greatest common factor (GCF) of 98381 and 98397 is 1.

GCF(98381,98397) = 1

We will now calculate the prime factors of 98381 and 98397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98381 and 98397.

How to find the GCF of 98381 and 98397?

We will first find the prime factorization of 98381 and 98397. After we will calculate the factors of 98381 and 98397 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 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 3² × 13¹ × 29²

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 98397

List of positive integer factors of 98397 that divides 98381 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 841, 1131, 2523, 3393, 7569, 10933, 32799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98381 and 98397. The biggest common factor number is the GCF number.
So the greatest common factor 98381 and 98397 is 1.

Also check out the Least Common Multiple of 98381 and 98397