Greatest Common Factor of 3735 and 3740

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 3735, 3740 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3735 and 3740 is 5.

GCF(3735,3740) = 5

GCF of 3735 and 3740

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

GCF of:
and

Greatest Common Factor of 3735 and 3740

GCF of 3735 and 3740 is 5

Prime Factorization of 3735


3 3735
3 1245
5 415
83 83
1

Prime factors of 3735 are 3,5,83. Prime factorization of 3735 in exponential form is:

3735 = 32×51×831

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

∴ So by taking common prime factors GCF of 3735 and 3740 is 5

Greatest Common Factor of 3735 and 3740 by matching factors method

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

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

Greatest Common Factor

We found the factors and prime factorization of 3735 and 3740. The biggest common factor number is the GCF number.
So the greatest common factor 3735 and 3740 is 5.

Also check out the Least Common Multiple of 3735 and 3740

Properties of GCF 3735 and 3740

(i) The GCF of 3735 and 3740 is associative

GCF of 3735 and 3740 = GCF of 3740 and 3735

Related Greatest Common Factor of 3735

Related Greatest Common Factor of 3740

Frequently Asked Questions on GCF of 3735 and 3740

1. What is the GCF of 3735 and 3740?

Answer: GCF of 3735 and 3740 is 5.

2. What are the Factors of 3735?

Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.

3. 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.

4. How to Find the GCF of 3735 and 3740?

Answer:

Greatest Common Factor of 3735 and 3740 = 5

Step 1: Find the prime factorization of 3735

3735 = 3 x 3 x 5 x 83

Step 2: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 3735 and 3740 is 5