What is the Greatest Common Factor of 98709 and 98723?

Greatest common factor (GCF) of 98709 and 98723 is 1.

GCF(98709,98723) = 1

We will now calculate the prime factors of 98709 and 98723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98709 and 98723.

How to find the GCF of 98709 and 98723?

We will first find the prime factorization of 98709 and 98723. After we will calculate the factors of 98709 and 98723 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98723

Prime factors of 98723 are 269, 367. Prime factorization of 98723 in exponential form is:

98723 = 269¹ × 367¹

Step-3: Factors of 98709

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

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

Step-4: Factors of 98723

List of positive integer factors of 98723 that divides 98709 without a remainder.

1, 269, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98709 and 98723. The biggest common factor number is the GCF number.
So the greatest common factor 98709 and 98723 is 1.

Also check out the Least Common Multiple of 98709 and 98723