What is the Greatest Common Factor of 5684 and 5704?

Greatest common factor (GCF) of 5684 and 5704 is 4.

GCF(5684,5704) = 4

We will now calculate the prime factors of 5684 and 5704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5684 and 5704.

How to find the GCF of 5684 and 5704?

We will first find the prime factorization of 5684 and 5704. After we will calculate the factors of 5684 and 5704 and find the biggest common factor number .

Step-1: Prime Factorization of 5684

Prime factors of 5684 are 2, 7, 29. Prime factorization of 5684 in exponential form is:

5684 = 2² × 7² × 29¹

Step-2: Prime Factorization of 5704

Prime factors of 5704 are 2, 23, 31. Prime factorization of 5704 in exponential form is:

5704 = 2³ × 23¹ × 31¹

Step-3: Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842

Step-4: Factors of 5704

List of positive integer factors of 5704 that divides 5684 without a remainder.

1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5684 and 5704. The biggest common factor number is the GCF number.
So the greatest common factor 5684 and 5704 is 4.

Also check out the Least Common Multiple of 5684 and 5704