Greatest Common Factor of 3740 and 3744

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, 3744 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3740 and 3744 is 4.

GCF(3740,3744) = 4

GCF of 3740 and 3744

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

GCF of:
and

Greatest Common Factor of 3740 and 3744

GCF of 3740 and 3744 is 4

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 3744


2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 3744 are 2,3,13. Prime factorization of 3744 in exponential form is:

3744 = 25×32×131

∴ So by taking common prime factors GCF of 3740 and 3744 is 4

Greatest Common Factor of 3740 and 3744 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 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors and prime factorization of 3740 and 3744. The biggest common factor number is the GCF number.
So the greatest common factor 3740 and 3744 is 4.

Also check out the Least Common Multiple of 3740 and 3744

Properties of GCF 3740 and 3744

(i) The GCF of 3740 and 3744 is associative

GCF of 3740 and 3744 = GCF of 3744 and 3740

Related Greatest Common Factor of 3740

Related Greatest Common Factor of 3744

Frequently Asked Questions on GCF of 3740 and 3744

1. What is the GCF of 3740 and 3744?

Answer: GCF of 3740 and 3744 is 4.

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 3744?

Answer: Factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744. There are 36 integers that are factors of 3744. The greatest factor of 3744 is 3744.

4. How to Find the GCF of 3740 and 3744?

Answer:

Greatest Common Factor of 3740 and 3744 = 4

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 3744

3744 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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 3740 and 3744 is 4