What is the Greatest Common Factor of 11678 and 11696?

Greatest common factor (GCF) of 11678 and 11696 is 2.

GCF(11678,11696) = 2

We will now calculate the prime factors of 11678 and 11696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11678 and 11696.

How to find the GCF of 11678 and 11696?

We will first find the prime factorization of 11678 and 11696. After we will calculate the factors of 11678 and 11696 and find the biggest common factor number .

Step-1: Prime Factorization of 11678

Prime factors of 11678 are 2, 5839. Prime factorization of 11678 in exponential form is:

11678 = 2¹ × 5839¹

Step-2: Prime Factorization of 11696

Prime factors of 11696 are 2, 17, 43. Prime factorization of 11696 in exponential form is:

11696 = 2⁴ × 17¹ × 43¹

Step-3: Factors of 11678

List of positive integer factors of 11678 that divides 11678 without a remainder.

1, 2, 5839

Step-4: Factors of 11696

List of positive integer factors of 11696 that divides 11678 without a remainder.

1, 2, 4, 8, 16, 17, 34, 43, 68, 86, 136, 172, 272, 344, 688, 731, 1462, 2924, 5848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11678 and 11696. The biggest common factor number is the GCF number.
So the greatest common factor 11678 and 11696 is 2.

Also check out the Least Common Multiple of 11678 and 11696