Greatest Common Factor of 3680 and 3684

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 3680, 3684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3680 and 3684 is 4.

GCF(3680,3684) = 4

GCF of 3680 and 3684

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

GCF of:
and

Greatest Common Factor of 3680 and 3684

GCF of 3680 and 3684 is 4

Prime Factorization of 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2,5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

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

∴ So by taking common prime factors GCF of 3680 and 3684 is 4

Greatest Common Factor of 3680 and 3684 by matching factors method

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680

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

Greatest Common Factor

We found the factors and prime factorization of 3680 and 3684. The biggest common factor number is the GCF number.
So the greatest common factor 3680 and 3684 is 4.

Also check out the Least Common Multiple of 3680 and 3684

Properties of GCF 3680 and 3684

(i) The GCF of 3680 and 3684 is associative

GCF of 3680 and 3684 = GCF of 3684 and 3680

Related Greatest Common Factor of 3680

Related Greatest Common Factor of 3684

Frequently Asked Questions on GCF of 3680 and 3684

1. What is the GCF of 3680 and 3684?

Answer: GCF of 3680 and 3684 is 4.

2. What are the Factors of 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

3. 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.

4. How to Find the GCF of 3680 and 3684?

Answer:

Greatest Common Factor of 3680 and 3684 = 4

Step 1: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3680 and 3684 is 4