Greatest Common Factor of 3684 and 3688

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 3684, 3688 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3684 and 3688 is 4.

GCF(3684,3688) = 4

GCF of 3684 and 3688

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

GCF of:
and

Greatest Common Factor of 3684 and 3688

GCF of 3684 and 3688 is 4

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

Prime Factorization of 3688


2 3688
2 1844
2 922
461 461
1

Prime factors of 3688 are 2,461. Prime factorization of 3688 in exponential form is:

3688 = 23×4611

∴ So by taking common prime factors GCF of 3684 and 3688 is 4

Greatest Common Factor of 3684 and 3688 by matching factors method

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

Factors of 3688

List of positive integer factors of 3688 that divides 3688 without a remainder.

1,2,4,8,461,922,1844,3688

Greatest Common Factor

We found the factors and prime factorization of 3684 and 3688. The biggest common factor number is the GCF number.
So the greatest common factor 3684 and 3688 is 4.

Also check out the Least Common Multiple of 3684 and 3688

Properties of GCF 3684 and 3688

(i) The GCF of 3684 and 3688 is associative

GCF of 3684 and 3688 = GCF of 3688 and 3684

Related Greatest Common Factor of 3684

Related Greatest Common Factor of 3688

Frequently Asked Questions on GCF of 3684 and 3688

1. What is the GCF of 3684 and 3688?

Answer: GCF of 3684 and 3688 is 4.

2. 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.

3. What are the Factors of 3688?

Answer: Factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688. There are 8 integers that are factors of 3688. The greatest factor of 3688 is 3688.

4. How to Find the GCF of 3684 and 3688?

Answer:

Greatest Common Factor of 3684 and 3688 = 4

Step 1: Find the prime factorization of 3684

3684 = 2 x 2 x 3 x 307

Step 2: Find the prime factorization of 3688

3688 = 2 x 2 x 2 x 461

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3684 and 3688 is 4