Greatest Common Factor of 3723 and 3729

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 3723, 3729 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3723 and 3729 is 3.

GCF(3723,3729) = 3

GCF of 3723 and 3729

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

GCF of:
and

Greatest Common Factor of 3723 and 3729

GCF of 3723 and 3729 is 3

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

Prime Factorization of 3729


3 3729
11 1243
113 113
1

Prime factors of 3729 are 3,11,113. Prime factorization of 3729 in exponential form is:

3729 = 31×111×1131

∴ So by taking common prime factors GCF of 3723 and 3729 is 3

Greatest Common Factor of 3723 and 3729 by matching factors method

Factors of 3723

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

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

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Greatest Common Factor

We found the factors and prime factorization of 3723 and 3729. The biggest common factor number is the GCF number.
So the greatest common factor 3723 and 3729 is 3.

Also check out the Least Common Multiple of 3723 and 3729

Properties of GCF 3723 and 3729

(i) The GCF of 3723 and 3729 is associative

GCF of 3723 and 3729 = GCF of 3729 and 3723

Related Greatest Common Factor of 3723

Related Greatest Common Factor of 3729

Frequently Asked Questions on GCF of 3723 and 3729

1. What is the GCF of 3723 and 3729?

Answer: GCF of 3723 and 3729 is 3.

2. 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.

3. What are the Factors of 3729?

Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.

4. How to Find the GCF of 3723 and 3729?

Answer:

Greatest Common Factor of 3723 and 3729 = 3

Step 1: Find the prime factorization of 3723

3723 = 3 x 17 x 73

Step 2: Find the prime factorization of 3729

3729 = 3 x 11 x 113

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 3723 and 3729 is 3