Greatest Common Factor of 3780 and 3784

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 3780, 3784 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3780 and 3784 is 4.

GCF(3780,3784) = 4

GCF of 3780 and 3784

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

GCF of:
and

Greatest Common Factor of 3780 and 3784

GCF of 3780 and 3784 is 4

Prime Factorization of 3780


2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 3780 are 2,3,5,7. Prime factorization of 3780 in exponential form is:

3780 = 22×33×51×71

Prime Factorization of 3784


2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 3784 are 2,11,43. Prime factorization of 3784 in exponential form is:

3784 = 23×111×431

∴ So by taking common prime factors GCF of 3780 and 3784 is 4

Greatest Common Factor of 3780 and 3784 by matching factors method

Factors of 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Greatest Common Factor

We found the factors and prime factorization of 3780 and 3784. The biggest common factor number is the GCF number.
So the greatest common factor 3780 and 3784 is 4.

Also check out the Least Common Multiple of 3780 and 3784

Properties of GCF 3780 and 3784

(i) The GCF of 3780 and 3784 is associative

GCF of 3780 and 3784 = GCF of 3784 and 3780

Related Greatest Common Factor of 3780

Related Greatest Common Factor of 3784

Frequently Asked Questions on GCF of 3780 and 3784

1. What is the GCF of 3780 and 3784?

Answer: GCF of 3780 and 3784 is 4.

2. What are the Factors of 3780?

Answer: Factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780. There are 48 integers that are factors of 3780. The greatest factor of 3780 is 3780.

3. What are the Factors of 3784?

Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.

4. How to Find the GCF of 3780 and 3784?

Answer:

Greatest Common Factor of 3780 and 3784 = 4

Step 1: Find the prime factorization of 3780

3780 = 2 x 2 x 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

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 3780 and 3784 is 4