What is the Greatest Common Factor of 11772 and 11776?

Greatest common factor (GCF) of 11772 and 11776 is 4.

GCF(11772,11776) = 4

We will now calculate the prime factors of 11772 and 11776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11772 and 11776.

How to find the GCF of 11772 and 11776?

We will first find the prime factorization of 11772 and 11776. After we will calculate the factors of 11772 and 11776 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 11776

Prime factors of 11776 are 2, 23. Prime factorization of 11776 in exponential form is:

11776 = 2⁹ × 23¹

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 11776

List of positive integer factors of 11776 that divides 11772 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1472, 2944, 5888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11772 and 11776. The biggest common factor number is the GCF number.
So the greatest common factor 11772 and 11776 is 4.

Also check out the Least Common Multiple of 11772 and 11776