What is the Greatest Common Factor of 11684 and 11704?

Greatest common factor (GCF) of 11684 and 11704 is 4.

GCF(11684,11704) = 4

We will now calculate the prime factors of 11684 and 11704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11684 and 11704.

How to find the GCF of 11684 and 11704?

We will first find the prime factorization of 11684 and 11704. After we will calculate the factors of 11684 and 11704 and find the biggest common factor number .

Step-1: Prime Factorization of 11684

Prime factors of 11684 are 2, 23, 127. Prime factorization of 11684 in exponential form is:

11684 = 2² × 23¹ × 127¹

Step-2: 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-3: Factors of 11684

List of positive integer factors of 11684 that divides 11684 without a remainder.

1, 2, 4, 23, 46, 92, 127, 254, 508, 2921, 5842

Step-4: Factors of 11704

List of positive integer factors of 11704 that divides 11684 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11684 and 11704. The biggest common factor number is the GCF number.
So the greatest common factor 11684 and 11704 is 4.

Also check out the Least Common Multiple of 11684 and 11704