Greatest Common Factor of 3680 and 3682

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, 3682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3680 and 3682 is 2.

GCF(3680,3682) = 2

GCF of 3680 and 3682

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

GCF of:
and

Greatest Common Factor of 3680 and 3682

GCF of 3680 and 3682 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 3682


2 3682
7 1841
263 263
1

Prime factors of 3682 are 2,7,263. Prime factorization of 3682 in exponential form is:

3682 = 21×71×2631

∴ So by taking common prime factors GCF of 3680 and 3682 is 2

Greatest Common Factor of 3680 and 3682 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 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors and prime factorization of 3680 and 3682. The biggest common factor number is the GCF number.
So the greatest common factor 3680 and 3682 is 2.

Also check out the Least Common Multiple of 3680 and 3682

Properties of GCF 3680 and 3682

(i) The GCF of 3680 and 3682 is associative

GCF of 3680 and 3682 = GCF of 3682 and 3680

Related Greatest Common Factor of 3680

Related Greatest Common Factor of 3682

Frequently Asked Questions on GCF of 3680 and 3682

1. What is the GCF of 3680 and 3682?

Answer: GCF of 3680 and 3682 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 3682?

Answer: Factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682. There are 8 integers that are factors of 3682. The greatest factor of 3682 is 3682.

4. How to Find the GCF of 3680 and 3682?

Answer:

Greatest Common Factor of 3680 and 3682 = 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 3682

3682 = 2 x 7 x 263

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 3682 is 2