What is the Greatest Common Factor of 34705 and 34711?

Greatest common factor (GCF) of 34705 and 34711 is 1.

GCF(34705,34711) = 1

We will now calculate the prime factors of 34705 and 34711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34705 and 34711.

How to find the GCF of 34705 and 34711?

We will first find the prime factorization of 34705 and 34711. After we will calculate the factors of 34705 and 34711 and find the biggest common factor number .

Step-1: Prime Factorization of 34705

Prime factors of 34705 are 5, 11, 631. Prime factorization of 34705 in exponential form is:

34705 = 5¹ × 11¹ × 631¹

Step-2: Prime Factorization of 34711

Prime factors of 34711 are 103, 337. Prime factorization of 34711 in exponential form is:

34711 = 103¹ × 337¹

Step-3: Factors of 34705

List of positive integer factors of 34705 that divides 34705 without a remainder.

1, 5, 11, 55, 631, 3155, 6941

Step-4: Factors of 34711

List of positive integer factors of 34711 that divides 34705 without a remainder.

1, 103, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34705 and 34711. The biggest common factor number is the GCF number.
So the greatest common factor 34705 and 34711 is 1.

Also check out the Least Common Multiple of 34705 and 34711