Greatest Common Factor of 3772 and 3780

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 3772, 3780 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3772 and 3780 is 4.

GCF(3772,3780) = 4

GCF of 3772 and 3780

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

GCF of:
and

Greatest Common Factor of 3772 and 3780

GCF of 3772 and 3780 is 4

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2,23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

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

∴ So by taking common prime factors GCF of 3772 and 3780 is 4

Greatest Common Factor of 3772 and 3780 by matching factors method

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

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

Greatest Common Factor

We found the factors and prime factorization of 3772 and 3780. The biggest common factor number is the GCF number.
So the greatest common factor 3772 and 3780 is 4.

Also check out the Least Common Multiple of 3772 and 3780

Properties of GCF 3772 and 3780

(i) The GCF of 3772 and 3780 is associative

GCF of 3772 and 3780 = GCF of 3780 and 3772

Related Greatest Common Factor of 3772

Related Greatest Common Factor of 3780

Frequently Asked Questions on GCF of 3772 and 3780

1. What is the GCF of 3772 and 3780?

Answer: GCF of 3772 and 3780 is 4.

2. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

3. 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.

4. How to Find the GCF of 3772 and 3780?

Answer:

Greatest Common Factor of 3772 and 3780 = 4

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

Step 2: Find the prime factorization of 3780

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

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 3772 and 3780 is 4