Greatest Common Factor of 3678 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 3678, 3682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3678 and 3682 is 2.

GCF(3678,3682) = 2

GCF of 3678 and 3682

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

GCF of:
and

Greatest Common Factor of 3678 and 3682

GCF of 3678 and 3682 is 2

Prime Factorization of 3678


2 3678
3 1839
613 613
1

Prime factors of 3678 are 2,3,613. Prime factorization of 3678 in exponential form is:

3678 = 21×31×6131

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 3678 and 3682 is 2

Greatest Common Factor of 3678 and 3682 by matching factors method

Factors of 3678

List of positive integer factors of 3678 that divides 3678 without a remainder.

1,2,3,6,613,1226,1839,3678

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 3678 and 3682. The biggest common factor number is the GCF number.
So the greatest common factor 3678 and 3682 is 2.

Also check out the Least Common Multiple of 3678 and 3682

Properties of GCF 3678 and 3682

(i) The GCF of 3678 and 3682 is associative

GCF of 3678 and 3682 = GCF of 3682 and 3678

Related Greatest Common Factor of 3678

Related Greatest Common Factor of 3682

Frequently Asked Questions on GCF of 3678 and 3682

1. What is the GCF of 3678 and 3682?

Answer: GCF of 3678 and 3682 is 2.

2. What are the Factors of 3678?

Answer: Factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678. There are 8 integers that are factors of 3678. The greatest factor of 3678 is 3678.

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 3678 and 3682?

Answer:

Greatest Common Factor of 3678 and 3682 = 2

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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 3678 and 3682 is 2