What is the Greatest Common Factor of 65709 and 65717?

Greatest common factor (GCF) of 65709 and 65717 is 1.

GCF(65709,65717) = 1

We will now calculate the prime factors of 65709 and 65717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65709 and 65717.

How to find the GCF of 65709 and 65717?

We will first find the prime factorization of 65709 and 65717. After we will calculate the factors of 65709 and 65717 and find the biggest common factor number .

Step-1: Prime Factorization of 65709

Prime factors of 65709 are 3, 7, 149. Prime factorization of 65709 in exponential form is:

65709 = 3² × 7² × 149¹

Step-2: Prime Factorization of 65717

Prime factors of 65717 are 65717. Prime factorization of 65717 in exponential form is:

65717 = 65717¹

Step-3: Factors of 65709

List of positive integer factors of 65709 that divides 65709 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 149, 441, 447, 1043, 1341, 3129, 7301, 9387, 21903

Step-4: Factors of 65717

List of positive integer factors of 65717 that divides 65709 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65709 and 65717. The biggest common factor number is the GCF number.
So the greatest common factor 65709 and 65717 is 1.

Also check out the Least Common Multiple of 65709 and 65717