What is the Greatest Common Factor of 11766 and 11785?

Greatest common factor (GCF) of 11766 and 11785 is 1.

GCF(11766,11785) = 1

We will now calculate the prime factors of 11766 and 11785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11766 and 11785.

How to find the GCF of 11766 and 11785?

We will first find the prime factorization of 11766 and 11785. After we will calculate the factors of 11766 and 11785 and find the biggest common factor number .

Step-1: Prime Factorization of 11766

Prime factors of 11766 are 2, 3, 37, 53. Prime factorization of 11766 in exponential form is:

11766 = 2¹ × 3¹ × 37¹ × 53¹

Step-2: Prime Factorization of 11785

Prime factors of 11785 are 5, 2357. Prime factorization of 11785 in exponential form is:

11785 = 5¹ × 2357¹

Step-3: Factors of 11766

List of positive integer factors of 11766 that divides 11766 without a remainder.

1, 2, 3, 6, 37, 53, 74, 106, 111, 159, 222, 318, 1961, 3922, 5883

Step-4: Factors of 11785

List of positive integer factors of 11785 that divides 11766 without a remainder.

1, 5, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11766 and 11785. The biggest common factor number is the GCF number.
So the greatest common factor 11766 and 11785 is 1.

Also check out the Least Common Multiple of 11766 and 11785