What is the Greatest Common Factor of 11704 and 11714?

Greatest common factor (GCF) of 11704 and 11714 is 2.

GCF(11704,11714) = 2

We will now calculate the prime factors of 11704 and 11714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11704 and 11714.

How to find the GCF of 11704 and 11714?

We will first find the prime factorization of 11704 and 11714. After we will calculate the factors of 11704 and 11714 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 11714

Prime factors of 11714 are 2, 5857. Prime factorization of 11714 in exponential form is:

11714 = 2¹ × 5857¹

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 11714

List of positive integer factors of 11714 that divides 11704 without a remainder.

1, 2, 5857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11704 and 11714. The biggest common factor number is the GCF number.
So the greatest common factor 11704 and 11714 is 2.

Also check out the Least Common Multiple of 11704 and 11714