Greatest Common Factor of 3747 and 3753

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 3747, 3753 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3747 and 3753 is 3.

GCF(3747,3753) = 3

GCF of 3747 and 3753

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

GCF of:
and

Greatest Common Factor of 3747 and 3753

GCF of 3747 and 3753 is 3

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

Prime Factorization of 3753


3 3753
3 1251
3 417
139 139
1

Prime factors of 3753 are 3,139. Prime factorization of 3753 in exponential form is:

3753 = 33×1391

∴ So by taking common prime factors GCF of 3747 and 3753 is 3

Greatest Common Factor of 3747 and 3753 by matching factors method

Factors of 3747

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

1,3,1249,3747

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1,3,9,27,139,417,1251,3753

Greatest Common Factor

We found the factors and prime factorization of 3747 and 3753. The biggest common factor number is the GCF number.
So the greatest common factor 3747 and 3753 is 3.

Also check out the Least Common Multiple of 3747 and 3753

Properties of GCF 3747 and 3753

(i) The GCF of 3747 and 3753 is associative

GCF of 3747 and 3753 = GCF of 3753 and 3747

Related Greatest Common Factor of 3747

Related Greatest Common Factor of 3753

Frequently Asked Questions on GCF of 3747 and 3753

1. What is the GCF of 3747 and 3753?

Answer: GCF of 3747 and 3753 is 3.

2. 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.

3. What are the Factors of 3753?

Answer: Factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753. There are 8 integers that are factors of 3753. The greatest factor of 3753 is 3753.

4. How to Find the GCF of 3747 and 3753?

Answer:

Greatest Common Factor of 3747 and 3753 = 3

Step 1: Find the prime factorization of 3747

3747 = 3 x 1249

Step 2: Find the prime factorization of 3753

3753 = 3 x 3 x 3 x 139

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 3747 and 3753 is 3