Greatest Common Factor of 3740 and 3742

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 3740, 3742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3740 and 3742 is 2.

GCF(3740,3742) = 2

GCF of 3740 and 3742

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

GCF of:
and

Greatest Common Factor of 3740 and 3742

GCF of 3740 and 3742 is 2

Prime Factorization of 3740


2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 3740 are 2,5,11,17. Prime factorization of 3740 in exponential form is:

3740 = 22×51×111×171

Prime Factorization of 3742


2 3742
1871 1871
1

Prime factors of 3742 are 2,1871. Prime factorization of 3742 in exponential form is:

3742 = 21×18711

∴ So by taking common prime factors GCF of 3740 and 3742 is 2

Greatest Common Factor of 3740 and 3742 by matching factors method

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Factors of 3742

List of positive integer factors of 3742 that divides 3742 without a remainder.

1,2,1871,3742

Greatest Common Factor

We found the factors and prime factorization of 3740 and 3742. The biggest common factor number is the GCF number.
So the greatest common factor 3740 and 3742 is 2.

Also check out the Least Common Multiple of 3740 and 3742

Properties of GCF 3740 and 3742

(i) The GCF of 3740 and 3742 is associative

GCF of 3740 and 3742 = GCF of 3742 and 3740

Related Greatest Common Factor of 3740

Related Greatest Common Factor of 3742

Frequently Asked Questions on GCF of 3740 and 3742

1. What is the GCF of 3740 and 3742?

Answer: GCF of 3740 and 3742 is 2.

2. What are the Factors of 3740?

Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.

3. What are the Factors of 3742?

Answer: Factors of 3742 are 1, 2, 1871, 3742. There are 4 integers that are factors of 3742. The greatest factor of 3742 is 3742.

4. How to Find the GCF of 3740 and 3742?

Answer:

Greatest Common Factor of 3740 and 3742 = 2

Step 1: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

Step 2: Find the prime factorization of 3742

3742 = 2 x 1871

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 3740 and 3742 is 2