Greatest Common Factor of 3678 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 3678, 3684 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3678 and 3684 is 6.

GCF(3678,3684) = 6

GCF of 3678 and 3684

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

GCF of:
and

Greatest Common Factor of 3678 and 3684

GCF of 3678 and 3684 is 6

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 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 3678 and 3684 is 6

Greatest Common Factor of 3678 and 3684 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 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 3678 and 3684. The biggest common factor number is the GCF number.
So the greatest common factor 3678 and 3684 is 6.

Also check out the Least Common Multiple of 3678 and 3684

Properties of GCF 3678 and 3684

(i) The GCF of 3678 and 3684 is associative

GCF of 3678 and 3684 = GCF of 3684 and 3678

Related Greatest Common Factor of 3678

Related Greatest Common Factor of 3684

Frequently Asked Questions on GCF of 3678 and 3684

1. What is the GCF of 3678 and 3684?

Answer: GCF of 3678 and 3684 is 6.

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 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 3678 and 3684?

Answer:

Greatest Common Factor of 3678 and 3684 = 6

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

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 3 = 6

Step 4: Therefore, the greatest common factor of 3678 and 3684 is 6