What is the Greatest Common Factor of 11762 and 11776?

Greatest common factor (GCF) of 11762 and 11776 is 2.

GCF(11762,11776) = 2

We will now calculate the prime factors of 11762 and 11776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11762 and 11776.

How to find the GCF of 11762 and 11776?

We will first find the prime factorization of 11762 and 11776. After we will calculate the factors of 11762 and 11776 and find the biggest common factor number .

Step-1: Prime Factorization of 11762

Prime factors of 11762 are 2, 5881. Prime factorization of 11762 in exponential form is:

11762 = 2¹ × 5881¹

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 11762

List of positive integer factors of 11762 that divides 11762 without a remainder.

1, 2, 5881

Step-4: Factors of 11776

List of positive integer factors of 11776 that divides 11762 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 11762 and 11776. The biggest common factor number is the GCF number.
So the greatest common factor 11762 and 11776 is 2.

Also check out the Least Common Multiple of 11762 and 11776