Greatest Common Factor of 3737 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 3737, 3744 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3737 and 3744 is 1.

GCF(3737,3744) = 1

GCF of 3737 and 3744

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

GCF of:
and

Greatest Common Factor of 3737 and 3744

GCF of 3737 and 3744 is 1

Prime Factorization of 3737


37 3737
101 101
1

Prime factors of 3737 are 37,101. Prime factorization of 3737 in exponential form is:

3737 = 371×1011

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 3737 and 3744 is 1

Greatest Common Factor of 3737 and 3744 by matching factors method

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1,37,101,3737

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 3737 and 3744. The biggest common factor number is the GCF number.
So the greatest common factor 3737 and 3744 is 1.

Also check out the Least Common Multiple of 3737 and 3744

Properties of GCF 3737 and 3744

(i) The GCF of 3737 and 3744 is associative

GCF of 3737 and 3744 = GCF of 3744 and 3737

Related Greatest Common Factor of 3737

Related Greatest Common Factor of 3744

Frequently Asked Questions on GCF of 3737 and 3744

1. What is the GCF of 3737 and 3744?

Answer: GCF of 3737 and 3744 is 1.

2. What are the Factors of 3737?

Answer: Factors of 3737 are 1, 37, 101, 3737. There are 4 integers that are factors of 3737. The greatest factor of 3737 is 3737.

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 3737 and 3744?

Answer:

Greatest Common Factor of 3737 and 3744 = 1

Step 1: Find the prime factorization of 3737

3737 = 37 x 101

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 = = 1

Step 4: Therefore, the greatest common factor of 3737 and 3744 is 1