What is the Greatest Common Factor of 11685 and 11701?

Greatest common factor (GCF) of 11685 and 11701 is 1.

GCF(11685,11701) = 1

We will now calculate the prime factors of 11685 and 11701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11685 and 11701.

How to find the GCF of 11685 and 11701?

We will first find the prime factorization of 11685 and 11701. After we will calculate the factors of 11685 and 11701 and find the biggest common factor number .

Step-1: Prime Factorization of 11685

Prime factors of 11685 are 3, 5, 19, 41. Prime factorization of 11685 in exponential form is:

11685 = 3¹ × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 11701

Prime factors of 11701 are 11701. Prime factorization of 11701 in exponential form is:

11701 = 11701¹

Step-3: Factors of 11685

List of positive integer factors of 11685 that divides 11685 without a remainder.

1, 3, 5, 15, 19, 41, 57, 95, 123, 205, 285, 615, 779, 2337, 3895

Step-4: Factors of 11701

List of positive integer factors of 11701 that divides 11685 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11685 and 11701. The biggest common factor number is the GCF number.
So the greatest common factor 11685 and 11701 is 1.

Also check out the Least Common Multiple of 11685 and 11701