What is the Greatest Common Factor of 11772 and 11785?

Greatest common factor (GCF) of 11772 and 11785 is 1.

GCF(11772,11785) = 1

We will now calculate the prime factors of 11772 and 11785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11772 and 11785.

How to find the GCF of 11772 and 11785?

We will first find the prime factorization of 11772 and 11785. After we will calculate the factors of 11772 and 11785 and find the biggest common factor number .

Step-1: Prime Factorization of 11772

Prime factors of 11772 are 2, 3, 109. Prime factorization of 11772 in exponential form is:

11772 = 2² × 3³ × 109¹

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 11772

List of positive integer factors of 11772 that divides 11772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 109, 218, 327, 436, 654, 981, 1308, 1962, 2943, 3924, 5886

Step-4: Factors of 11785

List of positive integer factors of 11785 that divides 11772 without a remainder.

1, 5, 2357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11772 and 11785. The biggest common factor number is the GCF number.
So the greatest common factor 11772 and 11785 is 1.

Also check out the Least Common Multiple of 11772 and 11785