Greatest Common Factor of 5682 and 5690

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 5682, 5690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5682 and 5690 is 2.

GCF(5682,5690) = 2

GCF of 5682 and 5690

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

GCF of:
and

Greatest Common Factor of 5682 and 5690

GCF of 5682 and 5690 is 2

Prime Factorization of 5682


2 5682
3 2841
947 947
1

Prime factors of 5682 are 2,3,947. Prime factorization of 5682 in exponential form is:

5682 = 21×31×9471

Prime Factorization of 5690


2 5690
5 2845
569 569
1

Prime factors of 5690 are 2,5,569. Prime factorization of 5690 in exponential form is:

5690 = 21×51×5691

∴ So by taking common prime factors GCF of 5682 and 5690 is 2

Greatest Common Factor of 5682 and 5690 by matching factors method

Factors of 5682

List of positive integer factors of 5682 that divides 5682 without a remainder.

1,2,3,6,947,1894,2841,5682

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1,2,5,10,569,1138,2845,5690

Greatest Common Factor

We found the factors and prime factorization of 5682 and 5690. The biggest common factor number is the GCF number.
So the greatest common factor 5682 and 5690 is 2.

Also check out the Least Common Multiple of 5682 and 5690

Properties of GCF 5682 and 5690

(i) The GCF of 5682 and 5690 is associative

GCF of 5682 and 5690 = GCF of 5690 and 5682

Related Greatest Common Factor of 5682

Related Greatest Common Factor of 5690

Frequently Asked Questions on GCF of 5682 and 5690

1. What is the GCF of 5682 and 5690?

Answer: GCF of 5682 and 5690 is 2.

2. What are the Factors of 5682?

Answer: Factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682. There are 8 integers that are factors of 5682. The greatest factor of 5682 is 5682.

3. What are the Factors of 5690?

Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.

4. How to Find the GCF of 5682 and 5690?

Answer:

Greatest Common Factor of 5682 and 5690 = 2

Step 1: Find the prime factorization of 5682

5682 = 2 x 3 x 947

Step 2: Find the prime factorization of 5690

5690 = 2 x 5 x 569

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5682 and 5690 is 2