Greatest Common Factor of 5685 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 5685, 5687 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5685 and 5687 is 1.

GCF(5685,5687) = 1

GCF of 5685 and 5687

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

GCF of:
and

Greatest Common Factor of 5685 and 5687

GCF of 5685 and 5687 is 1

Prime Factorization of 5685


3 5685
5 1895
379 379
1

Prime factors of 5685 are 3,5,379. Prime factorization of 5685 in exponential form is:

5685 = 31×51×3791

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 5685 and 5687 is 1

Greatest Common Factor of 5685 and 5687 by matching factors method

Factors of 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1,3,5,15,379,1137,1895,5685

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 5685 and 5687. The biggest common factor number is the GCF number.
So the greatest common factor 5685 and 5687 is 1.

Also check out the Least Common Multiple of 5685 and 5687

Properties of GCF 5685 and 5687

(i) The GCF of 5685 and 5687 is associative

GCF of 5685 and 5687 = GCF of 5687 and 5685

Related Greatest Common Factor of 5685

Related Greatest Common Factor of 5687

Frequently Asked Questions on GCF of 5685 and 5687

1. What is the GCF of 5685 and 5687?

Answer: GCF of 5685 and 5687 is 1.

2. What are the Factors of 5685?

Answer: Factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685. There are 8 integers that are factors of 5685. The greatest factor of 5685 is 5685.

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 5685 and 5687?

Answer:

Greatest Common Factor of 5685 and 5687 = 1

Step 1: Find the prime factorization of 5685

5685 = 3 x 5 x 379

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 5685 and 5687 is 1