Greatest Common Factor of 3686 and 3690

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 3686, 3690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3686 and 3690 is 2.

GCF(3686,3690) = 2

GCF of 3686 and 3690

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

GCF of:
and

Greatest Common Factor of 3686 and 3690

GCF of 3686 and 3690 is 2

Prime Factorization of 3686


2 3686
19 1843
97 97
1

Prime factors of 3686 are 2,19,97. Prime factorization of 3686 in exponential form is:

3686 = 21×191×971

Prime Factorization of 3690


2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 3690 are 2,3,5,41. Prime factorization of 3690 in exponential form is:

3690 = 21×32×51×411

∴ So by taking common prime factors GCF of 3686 and 3690 is 2

Greatest Common Factor of 3686 and 3690 by matching factors method

Factors of 3686

List of positive integer factors of 3686 that divides 3686 without a remainder.

1,2,19,38,97,194,1843,3686

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Greatest Common Factor

We found the factors and prime factorization of 3686 and 3690. The biggest common factor number is the GCF number.
So the greatest common factor 3686 and 3690 is 2.

Also check out the Least Common Multiple of 3686 and 3690

Properties of GCF 3686 and 3690

(i) The GCF of 3686 and 3690 is associative

GCF of 3686 and 3690 = GCF of 3690 and 3686

Related Greatest Common Factor of 3686

Related Greatest Common Factor of 3690

Frequently Asked Questions on GCF of 3686 and 3690

1. What is the GCF of 3686 and 3690?

Answer: GCF of 3686 and 3690 is 2.

2. What are the Factors of 3686?

Answer: Factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686. There are 8 integers that are factors of 3686. The greatest factor of 3686 is 3686.

3. What are the Factors of 3690?

Answer: Factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. There are 24 integers that are factors of 3690. The greatest factor of 3690 is 3690.

4. How to Find the GCF of 3686 and 3690?

Answer:

Greatest Common Factor of 3686 and 3690 = 2

Step 1: Find the prime factorization of 3686

3686 = 2 x 19 x 97

Step 2: Find the prime factorization of 3690

3690 = 2 x 3 x 3 x 5 x 41

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 3686 and 3690 is 2