Greatest Common Factor of 3717 and 3723

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 3717, 3723 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3717 and 3723 is 3.

GCF(3717,3723) = 3

GCF of 3717 and 3723

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

GCF of:
and

Greatest Common Factor of 3717 and 3723

GCF of 3717 and 3723 is 3

Prime Factorization of 3717


3 3717
3 1239
7 413
59 59
1

Prime factors of 3717 are 3,7,59. Prime factorization of 3717 in exponential form is:

3717 = 32×71×591

Prime Factorization of 3723


3 3723
17 1241
73 73
1

Prime factors of 3723 are 3,17,73. Prime factorization of 3723 in exponential form is:

3723 = 31×171×731

∴ So by taking common prime factors GCF of 3717 and 3723 is 3

Greatest Common Factor of 3717 and 3723 by matching factors method

Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1,3,7,9,21,59,63,177,413,531,1239,3717

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors and prime factorization of 3717 and 3723. The biggest common factor number is the GCF number.
So the greatest common factor 3717 and 3723 is 3.

Also check out the Least Common Multiple of 3717 and 3723

Properties of GCF 3717 and 3723

(i) The GCF of 3717 and 3723 is associative

GCF of 3717 and 3723 = GCF of 3723 and 3717

Related Greatest Common Factor of 3717

Related Greatest Common Factor of 3723

Frequently Asked Questions on GCF of 3717 and 3723

1. What is the GCF of 3717 and 3723?

Answer: GCF of 3717 and 3723 is 3.

2. What are the Factors of 3717?

Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.

3. What are the Factors of 3723?

Answer: Factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723. There are 8 integers that are factors of 3723. The greatest factor of 3723 is 3723.

4. How to Find the GCF of 3717 and 3723?

Answer:

Greatest Common Factor of 3717 and 3723 = 3

Step 1: Find the prime factorization of 3717

3717 = 3 x 3 x 7 x 59

Step 2: Find the prime factorization of 3723

3723 = 3 x 17 x 73

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 3717 and 3723 is 3