What is the Greatest Common Factor of 11772 and 11786?

Greatest common factor (GCF) of 11772 and 11786 is 2.

GCF(11772,11786) = 2

We will now calculate the prime factors of 11772 and 11786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11772 and 11786.

How to find the GCF of 11772 and 11786?

We will first find the prime factorization of 11772 and 11786. After we will calculate the factors of 11772 and 11786 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 11786

Prime factors of 11786 are 2, 71, 83. Prime factorization of 11786 in exponential form is:

11786 = 2¹ × 71¹ × 83¹

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 11786

List of positive integer factors of 11786 that divides 11772 without a remainder.

1, 2, 71, 83, 142, 166, 5893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11772 and 11786. The biggest common factor number is the GCF number.
So the greatest common factor 11772 and 11786 is 2.

Also check out the Least Common Multiple of 11772 and 11786