Greatest Common Factor of 3770 and 3772

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 3770, 3772 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3770 and 3772 is 2.

GCF(3770,3772) = 2

GCF of 3770 and 3772

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

GCF of:
and

Greatest Common Factor of 3770 and 3772

GCF of 3770 and 3772 is 2

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2,5,13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

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

∴ So by taking common prime factors GCF of 3770 and 3772 is 2

Greatest Common Factor of 3770 and 3772 by matching factors method

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

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

Greatest Common Factor

We found the factors and prime factorization of 3770 and 3772. The biggest common factor number is the GCF number.
So the greatest common factor 3770 and 3772 is 2.

Also check out the Least Common Multiple of 3770 and 3772

Properties of GCF 3770 and 3772

(i) The GCF of 3770 and 3772 is associative

GCF of 3770 and 3772 = GCF of 3772 and 3770

Related Greatest Common Factor of 3770

Related Greatest Common Factor of 3772

Frequently Asked Questions on GCF of 3770 and 3772

1. What is the GCF of 3770 and 3772?

Answer: GCF of 3770 and 3772 is 2.

2. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

3. 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.

4. How to Find the GCF of 3770 and 3772?

Answer:

Greatest Common Factor of 3770 and 3772 = 2

Step 1: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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 3770 and 3772 is 2