What is the Greatest Common Factor of 98557 and 98571?

Greatest common factor (GCF) of 98557 and 98571 is 1.

GCF(98557,98571) = 1

We will now calculate the prime factors of 98557 and 98571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98557 and 98571.

How to find the GCF of 98557 and 98571?

We will first find the prime factorization of 98557 and 98571. After we will calculate the factors of 98557 and 98571 and find the biggest common factor number .

Step-1: Prime Factorization of 98557

Prime factors of 98557 are 67, 1471. Prime factorization of 98557 in exponential form is:

98557 = 67¹ × 1471¹

Step-2: Prime Factorization of 98571

Prime factors of 98571 are 3, 11, 29, 103. Prime factorization of 98571 in exponential form is:

98571 = 3¹ × 11¹ × 29¹ × 103¹

Step-3: Factors of 98557

List of positive integer factors of 98557 that divides 98557 without a remainder.

1, 67, 1471

Step-4: Factors of 98571

List of positive integer factors of 98571 that divides 98557 without a remainder.

1, 3, 11, 29, 33, 87, 103, 309, 319, 957, 1133, 2987, 3399, 8961, 32857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98557 and 98571. The biggest common factor number is the GCF number.
So the greatest common factor 98557 and 98571 is 1.

Also check out the Least Common Multiple of 98557 and 98571