Greatest Common Factor of 3680 and 3686

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

Greatest common factor (GCF) of 3680 and 3686 is 2.

GCF(3680,3686) = 2

GCF of 3680 and 3686

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

GCF of:
and

Greatest Common Factor of 3680 and 3686

GCF of 3680 and 3686 is 2

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 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

∴ So by taking common prime factors GCF of 3680 and 3686 is 2

Greatest Common Factor of 3680 and 3686 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 3686

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

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

Greatest Common Factor

We found the factors and prime factorization of 3680 and 3686. The biggest common factor number is the GCF number.
So the greatest common factor 3680 and 3686 is 2.

Also check out the Least Common Multiple of 3680 and 3686

Properties of GCF 3680 and 3686

(i) The GCF of 3680 and 3686 is associative

GCF of 3680 and 3686 = GCF of 3686 and 3680

Related Greatest Common Factor of 3680

Related Greatest Common Factor of 3686

Frequently Asked Questions on GCF of 3680 and 3686

1. What is the GCF of 3680 and 3686?

Answer: GCF of 3680 and 3686 is 2.

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 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.

4. How to Find the GCF of 3680 and 3686?

Answer:

Greatest Common Factor of 3680 and 3686 = 2

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 3686

3686 = 2 x 19 x 97

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 3680 and 3686 is 2