Greatest Common Factor of 3682 and 3689

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 3682, 3689 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3682 and 3689 is 7.

GCF(3682,3689) = 7

GCF of 3682 and 3689

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

GCF of:
and

Greatest Common Factor of 3682 and 3689

GCF of 3682 and 3689 is 7

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

Prime Factorization of 3689


7 3689
17 527
31 31
1

Prime factors of 3689 are 7,17,31. Prime factorization of 3689 in exponential form is:

3689 = 71×171×311

∴ So by taking common prime factors GCF of 3682 and 3689 is 7

Greatest Common Factor of 3682 and 3689 by matching factors method

Factors of 3682

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

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

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors and prime factorization of 3682 and 3689. The biggest common factor number is the GCF number.
So the greatest common factor 3682 and 3689 is 7.

Also check out the Least Common Multiple of 3682 and 3689

Properties of GCF 3682 and 3689

(i) The GCF of 3682 and 3689 is associative

GCF of 3682 and 3689 = GCF of 3689 and 3682

Related Greatest Common Factor of 3682

Related Greatest Common Factor of 3689

Frequently Asked Questions on GCF of 3682 and 3689

1. What is the GCF of 3682 and 3689?

Answer: GCF of 3682 and 3689 is 7.

2. 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.

3. What are the Factors of 3689?

Answer: Factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689. There are 8 integers that are factors of 3689. The greatest factor of 3689 is 3689.

4. How to Find the GCF of 3682 and 3689?

Answer:

Greatest Common Factor of 3682 and 3689 = 7

Step 1: Find the prime factorization of 3682

3682 = 2 x 7 x 263

Step 2: Find the prime factorization of 3689

3689 = 7 x 17 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3682 and 3689 is 7