Greatest Common Factor of 3744 and 3749

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, 3749 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3744 and 3749 is 1.

GCF(3744,3749) = 1

GCF of 3744 and 3749

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

GCF of:
and

Greatest Common Factor of 3744 and 3749

GCF of 3744 and 3749 is 1

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 3749


23 3749
163 163
1

Prime factors of 3749 are 23,163. Prime factorization of 3749 in exponential form is:

3749 = 231×1631

∴ So by taking common prime factors GCF of 3744 and 3749 is 1

Greatest Common Factor of 3744 and 3749 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 3749

List of positive integer factors of 3749 that divides 3749 without a remainder.

1,23,163,3749

Greatest Common Factor

We found the factors and prime factorization of 3744 and 3749. The biggest common factor number is the GCF number.
So the greatest common factor 3744 and 3749 is 1.

Also check out the Least Common Multiple of 3744 and 3749

Properties of GCF 3744 and 3749

(i) The GCF of 3744 and 3749 is associative

GCF of 3744 and 3749 = GCF of 3749 and 3744

Related Greatest Common Factor of 3744

Related Greatest Common Factor of 3749

Frequently Asked Questions on GCF of 3744 and 3749

1. What is the GCF of 3744 and 3749?

Answer: GCF of 3744 and 3749 is 1.

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 3749?

Answer: Factors of 3749 are 1, 23, 163, 3749. There are 4 integers that are factors of 3749. The greatest factor of 3749 is 3749.

4. How to Find the GCF of 3744 and 3749?

Answer:

Greatest Common Factor of 3744 and 3749 = 1

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 3749

3749 = 23 x 163

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3744 and 3749 is 1