What is the Greatest Common Factor of 98709 and 98722?

Greatest common factor (GCF) of 98709 and 98722 is 13.

GCF(98709,98722) = 13

We will now calculate the prime factors of 98709 and 98722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98709 and 98722.

How to find the GCF of 98709 and 98722?

We will first find the prime factorization of 98709 and 98722. After we will calculate the factors of 98709 and 98722 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 98722

Prime factors of 98722 are 2, 13, 3797. Prime factorization of 98722 in exponential form is:

98722 = 2¹ × 13¹ × 3797¹

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 98722

List of positive integer factors of 98722 that divides 98709 without a remainder.

1, 2, 13, 26, 3797, 7594, 49361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98709 and 98722. The biggest common factor number is the GCF number.
So the greatest common factor 98709 and 98722 is 13.

Also check out the Least Common Multiple of 98709 and 98722