What is the Greatest Common Factor of 11685 and 11704?

Greatest common factor (GCF) of 11685 and 11704 is 19.

GCF(11685,11704) = 19

We will now calculate the prime factors of 11685 and 11704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11685 and 11704.

How to find the GCF of 11685 and 11704?

We will first find the prime factorization of 11685 and 11704. After we will calculate the factors of 11685 and 11704 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 11704

Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:

11704 = 2³ × 7¹ × 11¹ × 19¹

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 11704

List of positive integer factors of 11704 that divides 11685 without a remainder.

1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 56, 76, 77, 88, 133, 152, 154, 209, 266, 308, 418, 532, 616, 836, 1064, 1463, 1672, 2926, 5852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11685 and 11704. The biggest common factor number is the GCF number.
So the greatest common factor 11685 and 11704 is 19.

Also check out the Least Common Multiple of 11685 and 11704