Greatest Common Factor of 3729 and 3731

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 3729, 3731 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3729 and 3731 is 1.

GCF(3729,3731) = 1

GCF of 3729 and 3731

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

GCF of:
and

Greatest Common Factor of 3729 and 3731

GCF of 3729 and 3731 is 1

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

Prime Factorization of 3731


7 3731
13 533
41 41
1

Prime factors of 3731 are 7,13,41. Prime factorization of 3731 in exponential form is:

3731 = 71×131×411

∴ So by taking common prime factors GCF of 3729 and 3731 is 1

Greatest Common Factor of 3729 and 3731 by matching factors method

Factors of 3729

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

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

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Greatest Common Factor

We found the factors and prime factorization of 3729 and 3731. The biggest common factor number is the GCF number.
So the greatest common factor 3729 and 3731 is 1.

Also check out the Least Common Multiple of 3729 and 3731

Properties of GCF 3729 and 3731

(i) The GCF of 3729 and 3731 is associative

GCF of 3729 and 3731 = GCF of 3731 and 3729

Related Greatest Common Factor of 3729

Related Greatest Common Factor of 3731

Frequently Asked Questions on GCF of 3729 and 3731

1. What is the GCF of 3729 and 3731?

Answer: GCF of 3729 and 3731 is 1.

2. 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.

3. What are the Factors of 3731?

Answer: Factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731. There are 8 integers that are factors of 3731. The greatest factor of 3731 is 3731.

4. How to Find the GCF of 3729 and 3731?

Answer:

Greatest Common Factor of 3729 and 3731 = 1

Step 1: Find the prime factorization of 3729

3729 = 3 x 11 x 113

Step 2: Find the prime factorization of 3731

3731 = 7 x 13 x 41

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 3729 and 3731 is 1