What is the Greatest Common Factor of 17705 and 17711?

Greatest common factor (GCF) of 17705 and 17711 is 1.

GCF(17705,17711) = 1

We will now calculate the prime factors of 17705 and 17711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17705 and 17711.

How to find the GCF of 17705 and 17711?

We will first find the prime factorization of 17705 and 17711. After we will calculate the factors of 17705 and 17711 and find the biggest common factor number .

Step-1: Prime Factorization of 17705

Prime factors of 17705 are 5, 3541. Prime factorization of 17705 in exponential form is:

17705 = 5¹ × 3541¹

Step-2: Prime Factorization of 17711

Prime factors of 17711 are 89, 199. Prime factorization of 17711 in exponential form is:

17711 = 89¹ × 199¹

Step-3: Factors of 17705

List of positive integer factors of 17705 that divides 17705 without a remainder.

1, 5, 3541

Step-4: Factors of 17711

List of positive integer factors of 17711 that divides 17705 without a remainder.

1, 89, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17705 and 17711. The biggest common factor number is the GCF number.
So the greatest common factor 17705 and 17711 is 1.

Also check out the Least Common Multiple of 17705 and 17711