What is the Greatest Common Factor of 11704 and 11723?

Greatest common factor (GCF) of 11704 and 11723 is 19.

GCF(11704,11723) = 19

We will now calculate the prime factors of 11704 and 11723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11704 and 11723.

How to find the GCF of 11704 and 11723?

We will first find the prime factorization of 11704 and 11723. After we will calculate the factors of 11704 and 11723 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 11723

Prime factors of 11723 are 19, 617. Prime factorization of 11723 in exponential form is:

11723 = 19¹ × 617¹

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 11723

List of positive integer factors of 11723 that divides 11704 without a remainder.

1, 19, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11704 and 11723. The biggest common factor number is the GCF number.
So the greatest common factor 11704 and 11723 is 19.

Also check out the Least Common Multiple of 11704 and 11723