Greatest Common Factor of 5684 and 5687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5684, 5687 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5684 and 5687 is 1.

GCF(5684,5687) = 1

GCF of 5684 and 5687

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5684 and 5687

GCF of 5684 and 5687 is 1

Prime Factorization of 5684


2 5684
2 2842
7 1421
7 203
29 29
1

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

5684 = 22×72×291

Prime Factorization of 5687


11 5687
11 517
47 47
1

Prime factors of 5687 are 11,47. Prime factorization of 5687 in exponential form is:

5687 = 112×471

∴ So by taking common prime factors GCF of 5684 and 5687 is 1

Greatest Common Factor of 5684 and 5687 by matching factors method

Factors of 5684

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

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Factors of 5687

List of positive integer factors of 5687 that divides 5687 without a remainder.

1,11,47,121,517,5687

Greatest Common Factor

We found the factors and prime factorization of 5684 and 5687. The biggest common factor number is the GCF number.
So the greatest common factor 5684 and 5687 is 1.

Also check out the Least Common Multiple of 5684 and 5687

Properties of GCF 5684 and 5687

(i) The GCF of 5684 and 5687 is associative

GCF of 5684 and 5687 = GCF of 5687 and 5684

Related Greatest Common Factor of 5684

Related Greatest Common Factor of 5687

Frequently Asked Questions on GCF of 5684 and 5687

1. What is the GCF of 5684 and 5687?

Answer: GCF of 5684 and 5687 is 1.

2. What are the Factors of 5684?

Answer: Factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684. There are 18 integers that are factors of 5684. The greatest factor of 5684 is 5684.

3. What are the Factors of 5687?

Answer: Factors of 5687 are 1, 11, 47, 121, 517, 5687. There are 6 integers that are factors of 5687. The greatest factor of 5687 is 5687.

4. How to Find the GCF of 5684 and 5687?

Answer:

Greatest Common Factor of 5684 and 5687 = 1

Step 1: Find the prime factorization of 5684

5684 = 2 x 2 x 7 x 7 x 29

Step 2: Find the prime factorization of 5687

5687 = 11 x 11 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 5684 and 5687 is 1