What is the Greatest Common Factor of 98709 and 98726?

Greatest common factor (GCF) of 98709 and 98726 is 1.

GCF(98709,98726) = 1

We will now calculate the prime factors of 98709 and 98726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98709 and 98726.

How to find the GCF of 98709 and 98726?

We will first find the prime factorization of 98709 and 98726. After we will calculate the factors of 98709 and 98726 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 98726

Prime factors of 98726 are 2, 49363. Prime factorization of 98726 in exponential form is:

98726 = 2¹ × 49363¹

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 98726

List of positive integer factors of 98726 that divides 98709 without a remainder.

1, 2, 49363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98709 and 98726. The biggest common factor number is the GCF number.
So the greatest common factor 98709 and 98726 is 1.

Also check out the Least Common Multiple of 98709 and 98726