What is the Greatest Common Factor of 81709 and 81717?

Greatest common factor (GCF) of 81709 and 81717 is 1.

GCF(81709,81717) = 1

We will now calculate the prime factors of 81709 and 81717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81709 and 81717.

How to find the GCF of 81709 and 81717?

We will first find the prime factorization of 81709 and 81717. After we will calculate the factors of 81709 and 81717 and find the biggest common factor number .

Step-1: Prime Factorization of 81709

Prime factors of 81709 are 101, 809. Prime factorization of 81709 in exponential form is:

81709 = 101¹ × 809¹

Step-2: Prime Factorization of 81717

Prime factors of 81717 are 3, 27239. Prime factorization of 81717 in exponential form is:

81717 = 3¹ × 27239¹

Step-3: Factors of 81709

List of positive integer factors of 81709 that divides 81709 without a remainder.

1, 101, 809

Step-4: Factors of 81717

List of positive integer factors of 81717 that divides 81709 without a remainder.

1, 3, 27239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81709 and 81717. The biggest common factor number is the GCF number.
So the greatest common factor 81709 and 81717 is 1.

Also check out the Least Common Multiple of 81709 and 81717