What is the Greatest Common Factor of 11696 and 11705?

Greatest common factor (GCF) of 11696 and 11705 is 1.

GCF(11696,11705) = 1

We will now calculate the prime factors of 11696 and 11705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11696 and 11705.

How to find the GCF of 11696 and 11705?

We will first find the prime factorization of 11696 and 11705. After we will calculate the factors of 11696 and 11705 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11705

Prime factors of 11705 are 5, 2341. Prime factorization of 11705 in exponential form is:

11705 = 5¹ × 2341¹

Step-3: Factors of 11696

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

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

Step-4: Factors of 11705

List of positive integer factors of 11705 that divides 11696 without a remainder.

1, 5, 2341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11696 and 11705. The biggest common factor number is the GCF number.
So the greatest common factor 11696 and 11705 is 1.

Also check out the Least Common Multiple of 11696 and 11705