Greatest Common Factor of 3744 and 3747

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 3744, 3747 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3744 and 3747 is 3.

GCF(3744,3747) = 3

GCF of 3744 and 3747

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

GCF of:
and

Greatest Common Factor of 3744 and 3747

GCF of 3744 and 3747 is 3

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

Prime Factorization of 3747


3 3747
1249 1249
1

Prime factors of 3747 are 3,1249. Prime factorization of 3747 in exponential form is:

3747 = 31×12491

∴ So by taking common prime factors GCF of 3744 and 3747 is 3

Greatest Common Factor of 3744 and 3747 by matching factors method

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

Factors of 3747

List of positive integer factors of 3747 that divides 3747 without a remainder.

1,3,1249,3747

Greatest Common Factor

We found the factors and prime factorization of 3744 and 3747. The biggest common factor number is the GCF number.
So the greatest common factor 3744 and 3747 is 3.

Also check out the Least Common Multiple of 3744 and 3747

Properties of GCF 3744 and 3747

(i) The GCF of 3744 and 3747 is associative

GCF of 3744 and 3747 = GCF of 3747 and 3744

Related Greatest Common Factor of 3744

Related Greatest Common Factor of 3747

Frequently Asked Questions on GCF of 3744 and 3747

1. What is the GCF of 3744 and 3747?

Answer: GCF of 3744 and 3747 is 3.

2. 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.

3. What are the Factors of 3747?

Answer: Factors of 3747 are 1, 3, 1249, 3747. There are 4 integers that are factors of 3747. The greatest factor of 3747 is 3747.

4. How to Find the GCF of 3744 and 3747?

Answer:

Greatest Common Factor of 3744 and 3747 = 3

Step 1: Find the prime factorization of 3744

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

Step 2: Find the prime factorization of 3747

3747 = 3 x 1249

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3744 and 3747 is 3