Greatest Common Factor of 3684 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 3684, 3690 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3684 and 3690 is 6.

GCF(3684,3690) = 6

GCF of 3684 and 3690

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

GCF of:
and

Greatest Common Factor of 3684 and 3690

GCF of 3684 and 3690 is 6

Prime Factorization of 3684


2 3684
2 1842
3 921
307 307
1

Prime factors of 3684 are 2,3,307. Prime factorization of 3684 in exponential form is:

3684 = 22×31×3071

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 3684 and 3690 is 6

Greatest Common Factor of 3684 and 3690 by matching factors method

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

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 3684 and 3690. The biggest common factor number is the GCF number.
So the greatest common factor 3684 and 3690 is 6.

Also check out the Least Common Multiple of 3684 and 3690

Properties of GCF 3684 and 3690

(i) The GCF of 3684 and 3690 is associative

GCF of 3684 and 3690 = GCF of 3690 and 3684

Related Greatest Common Factor of 3684

Related Greatest Common Factor of 3690

Frequently Asked Questions on GCF of 3684 and 3690

1. What is the GCF of 3684 and 3690?

Answer: GCF of 3684 and 3690 is 6.

2. What are the Factors of 3684?

Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.

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 3684 and 3690?

Answer:

Greatest Common Factor of 3684 and 3690 = 6

Step 1: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 3684 and 3690 is 6