What is the Greatest Common Factor of 11679 and 11696?

Greatest common factor (GCF) of 11679 and 11696 is 17.

GCF(11679,11696) = 17

We will now calculate the prime factors of 11679 and 11696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11679 and 11696.

How to find the GCF of 11679 and 11696?

We will first find the prime factorization of 11679 and 11696. After we will calculate the factors of 11679 and 11696 and find the biggest common factor number .

Step-1: Prime Factorization of 11679

Prime factors of 11679 are 3, 17, 229. Prime factorization of 11679 in exponential form is:

11679 = 3¹ × 17¹ × 229¹

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 11679

List of positive integer factors of 11679 that divides 11679 without a remainder.

1, 3, 17, 51, 229, 687, 3893

Step-4: Factors of 11696

List of positive integer factors of 11696 that divides 11679 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 11679 and 11696. The biggest common factor number is the GCF number.
So the greatest common factor 11679 and 11696 is 17.

Also check out the Least Common Multiple of 11679 and 11696