What is the Greatest Common Factor of 98703 and 98709?

Greatest common factor (GCF) of 98703 and 98709 is 3.

GCF(98703,98709) = 3

We will now calculate the prime factors of 98703 and 98709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98703 and 98709.

How to find the GCF of 98703 and 98709?

We will first find the prime factorization of 98703 and 98709. After we will calculate the factors of 98703 and 98709 and find the biggest common factor number .

Step-1: Prime Factorization of 98703

Prime factors of 98703 are 3, 11, 997. Prime factorization of 98703 in exponential form is:

98703 = 3² × 11¹ × 997¹

Step-2: Prime Factorization of 98709

Prime factors of 98709 are 3, 13, 2531. Prime factorization of 98709 in exponential form is:

98709 = 3¹ × 13¹ × 2531¹

Step-3: Factors of 98703

List of positive integer factors of 98703 that divides 98703 without a remainder.

1, 3, 9, 11, 33, 99, 997, 2991, 8973, 10967, 32901

Step-4: Factors of 98709

List of positive integer factors of 98709 that divides 98703 without a remainder.

1, 3, 13, 39, 2531, 7593, 32903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98703 and 98709. The biggest common factor number is the GCF number.
So the greatest common factor 98703 and 98709 is 3.

Also check out the Least Common Multiple of 98703 and 98709