What is the Greatest Common Factor of 10705 and 10711?

Greatest common factor (GCF) of 10705 and 10711 is 1.

GCF(10705,10711) = 1

We will now calculate the prime factors of 10705 and 10711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10705 and 10711.

How to find the GCF of 10705 and 10711?

We will first find the prime factorization of 10705 and 10711. After we will calculate the factors of 10705 and 10711 and find the biggest common factor number .

Step-1: Prime Factorization of 10705

Prime factors of 10705 are 5, 2141. Prime factorization of 10705 in exponential form is:

10705 = 5¹ × 2141¹

Step-2: Prime Factorization of 10711

Prime factors of 10711 are 10711. Prime factorization of 10711 in exponential form is:

10711 = 10711¹

Step-3: Factors of 10705

List of positive integer factors of 10705 that divides 10705 without a remainder.

1, 5, 2141

Step-4: Factors of 10711

List of positive integer factors of 10711 that divides 10705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10705 and 10711. The biggest common factor number is the GCF number.
So the greatest common factor 10705 and 10711 is 1.

Also check out the Least Common Multiple of 10705 and 10711