What is the Greatest Common Factor of 11696 and 11707?

Greatest common factor (GCF) of 11696 and 11707 is 1.

GCF(11696,11707) = 1

We will now calculate the prime factors of 11696 and 11707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11696 and 11707.

How to find the GCF of 11696 and 11707?

We will first find the prime factorization of 11696 and 11707. After we will calculate the factors of 11696 and 11707 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 11707

Prime factors of 11707 are 23, 509. Prime factorization of 11707 in exponential form is:

11707 = 23¹ × 509¹

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 11707

List of positive integer factors of 11707 that divides 11696 without a remainder.

1, 23, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11696 and 11707. The biggest common factor number is the GCF number.
So the greatest common factor 11696 and 11707 is 1.

Also check out the Least Common Multiple of 11696 and 11707