What is the Greatest Common Factor of 11704 and 11718?

Greatest common factor (GCF) of 11704 and 11718 is 14.

GCF(11704,11718) = 14

We will now calculate the prime factors of 11704 and 11718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11704 and 11718.

How to find the GCF of 11704 and 11718?

We will first find the prime factorization of 11704 and 11718. After we will calculate the factors of 11704 and 11718 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 11718

Prime factors of 11718 are 2, 3, 7, 31. Prime factorization of 11718 in exponential form is:

11718 = 2¹ × 3³ × 7¹ × 31¹

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 11718

List of positive integer factors of 11718 that divides 11704 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 31, 42, 54, 62, 63, 93, 126, 186, 189, 217, 279, 378, 434, 558, 651, 837, 1302, 1674, 1953, 3906, 5859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11704 and 11718. The biggest common factor number is the GCF number.
So the greatest common factor 11704 and 11718 is 14.

Also check out the Least Common Multiple of 11704 and 11718