What is the Greatest Common Factor of 11704 and 11711?

Greatest common factor (GCF) of 11704 and 11711 is 7.

GCF(11704,11711) = 7

We will now calculate the prime factors of 11704 and 11711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11704 and 11711.

How to find the GCF of 11704 and 11711?

We will first find the prime factorization of 11704 and 11711. After we will calculate the factors of 11704 and 11711 and find the biggest common factor number .

Step-1: Prime Factorization of 11704

Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:

11704 = 2³ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 11711

Prime factors of 11711 are 7, 239. Prime factorization of 11711 in exponential form is:

11711 = 7² × 239¹

Step-3: Factors of 11704

List of positive integer factors of 11704 that divides 11704 without a remainder.

1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 56, 76, 77, 88, 133, 152, 154, 209, 266, 308, 418, 532, 616, 836, 1064, 1463, 1672, 2926, 5852

Step-4: Factors of 11711

List of positive integer factors of 11711 that divides 11704 without a remainder.

1, 7, 49, 239, 1673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11704 and 11711. The biggest common factor number is the GCF number.
So the greatest common factor 11704 and 11711 is 7.

Also check out the Least Common Multiple of 11704 and 11711