What is the Greatest Common Factor of 11776 and 11782?

Greatest common factor (GCF) of 11776 and 11782 is 2.

GCF(11776,11782) = 2

We will now calculate the prime factors of 11776 and 11782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11776 and 11782.

How to find the GCF of 11776 and 11782?

We will first find the prime factorization of 11776 and 11782. After we will calculate the factors of 11776 and 11782 and find the biggest common factor number .

Step-1: Prime Factorization of 11776

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

11776 = 2⁹ × 23¹

Step-2: Prime Factorization of 11782

Prime factors of 11782 are 2, 43, 137. Prime factorization of 11782 in exponential form is:

11782 = 2¹ × 43¹ × 137¹

Step-3: Factors of 11776

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

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

Step-4: Factors of 11782

List of positive integer factors of 11782 that divides 11776 without a remainder.

1, 2, 43, 86, 137, 274, 5891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11776 and 11782. The biggest common factor number is the GCF number.
So the greatest common factor 11776 and 11782 is 2.

Also check out the Least Common Multiple of 11776 and 11782