Greatest Common Factor of 3678 and 3680

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, 3680 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3678 and 3680 is 2.

GCF(3678,3680) = 2

GCF of 3678 and 3680

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

GCF of:
and

Greatest Common Factor of 3678 and 3680

GCF of 3678 and 3680 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 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

∴ So by taking common prime factors GCF of 3678 and 3680 is 2

Greatest Common Factor of 3678 and 3680 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 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

Greatest Common Factor

We found the factors and prime factorization of 3678 and 3680. The biggest common factor number is the GCF number.
So the greatest common factor 3678 and 3680 is 2.

Also check out the Least Common Multiple of 3678 and 3680

Properties of GCF 3678 and 3680

(i) The GCF of 3678 and 3680 is associative

GCF of 3678 and 3680 = GCF of 3680 and 3678

Related Greatest Common Factor of 3678

Related Greatest Common Factor of 3680

Frequently Asked Questions on GCF of 3678 and 3680

1. What is the GCF of 3678 and 3680?

Answer: GCF of 3678 and 3680 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 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.

4. How to Find the GCF of 3678 and 3680?

Answer:

Greatest Common Factor of 3678 and 3680 = 2

Step 1: Find the prime factorization of 3678

3678 = 2 x 3 x 613

Step 2: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

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 3680 is 2