What is the Greatest Common Factor of 5684 and 5691?

Greatest common factor (GCF) of 5684 and 5691 is 7.

GCF(5684,5691) = 7

We will now calculate the prime factors of 5684 and 5691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5684 and 5691.

How to find the GCF of 5684 and 5691?

We will first find the prime factorization of 5684 and 5691. After we will calculate the factors of 5684 and 5691 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 5691

Prime factors of 5691 are 3, 7, 271. Prime factorization of 5691 in exponential form is:

5691 = 3¹ × 7¹ × 271¹

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 5691

List of positive integer factors of 5691 that divides 5684 without a remainder.

1, 3, 7, 21, 271, 813, 1897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5684 and 5691. The biggest common factor number is the GCF number.
So the greatest common factor 5684 and 5691 is 7.

Also check out the Least Common Multiple of 5684 and 5691