What is the Greatest Common Factor of 85705 and 85717?

Greatest common factor (GCF) of 85705 and 85717 is 1.

GCF(85705,85717) = 1

We will now calculate the prime factors of 85705 and 85717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85705 and 85717.

How to find the GCF of 85705 and 85717?

We will first find the prime factorization of 85705 and 85717. After we will calculate the factors of 85705 and 85717 and find the biggest common factor number .

Step-1: Prime Factorization of 85705

Prime factors of 85705 are 5, 61, 281. Prime factorization of 85705 in exponential form is:

85705 = 5¹ × 61¹ × 281¹

Step-2: Prime Factorization of 85717

Prime factors of 85717 are 85717. Prime factorization of 85717 in exponential form is:

85717 = 85717¹

Step-3: Factors of 85705

List of positive integer factors of 85705 that divides 85705 without a remainder.

1, 5, 61, 281, 305, 1405, 17141

Step-4: Factors of 85717

List of positive integer factors of 85717 that divides 85705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85705 and 85717. The biggest common factor number is the GCF number.
So the greatest common factor 85705 and 85717 is 1.

Also check out the Least Common Multiple of 85705 and 85717