Greatest Common Factor of 3744 and 3748

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, 3748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3744 and 3748 is 4.

GCF(3744,3748) = 4

GCF of 3744 and 3748

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

GCF of:
and

Greatest Common Factor of 3744 and 3748

GCF of 3744 and 3748 is 4

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 3748


2 3748
2 1874
937 937
1

Prime factors of 3748 are 2,937. Prime factorization of 3748 in exponential form is:

3748 = 22×9371

∴ So by taking common prime factors GCF of 3744 and 3748 is 4

Greatest Common Factor of 3744 and 3748 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 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1,2,4,937,1874,3748

Greatest Common Factor

We found the factors and prime factorization of 3744 and 3748. The biggest common factor number is the GCF number.
So the greatest common factor 3744 and 3748 is 4.

Also check out the Least Common Multiple of 3744 and 3748

Properties of GCF 3744 and 3748

(i) The GCF of 3744 and 3748 is associative

GCF of 3744 and 3748 = GCF of 3748 and 3744

Related Greatest Common Factor of 3744

Related Greatest Common Factor of 3748

Frequently Asked Questions on GCF of 3744 and 3748

1. What is the GCF of 3744 and 3748?

Answer: GCF of 3744 and 3748 is 4.

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 3748?

Answer: Factors of 3748 are 1, 2, 4, 937, 1874, 3748. There are 6 integers that are factors of 3748. The greatest factor of 3748 is 3748.

4. How to Find the GCF of 3744 and 3748?

Answer:

Greatest Common Factor of 3744 and 3748 = 4

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 3748

3748 = 2 x 2 x 937

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 3744 and 3748 is 4