Greatest Common Factor of 3716 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 3716, 3723 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3716 and 3723 is 1.

GCF(3716,3723) = 1

GCF of 3716 and 3723

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

GCF of:
and

Greatest Common Factor of 3716 and 3723

GCF of 3716 and 3723 is 1

Prime Factorization of 3716


2 3716
2 1858
929 929
1

Prime factors of 3716 are 2,929. Prime factorization of 3716 in exponential form is:

3716 = 22×9291

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 3716 and 3723 is 1

Greatest Common Factor of 3716 and 3723 by matching factors method

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1,2,4,929,1858,3716

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 3716 and 3723. The biggest common factor number is the GCF number.
So the greatest common factor 3716 and 3723 is 1.

Also check out the Least Common Multiple of 3716 and 3723

Properties of GCF 3716 and 3723

(i) The GCF of 3716 and 3723 is associative

GCF of 3716 and 3723 = GCF of 3723 and 3716

Related Greatest Common Factor of 3716

Related Greatest Common Factor of 3723

Frequently Asked Questions on GCF of 3716 and 3723

1. What is the GCF of 3716 and 3723?

Answer: GCF of 3716 and 3723 is 1.

2. What are the Factors of 3716?

Answer: Factors of 3716 are 1, 2, 4, 929, 1858, 3716. There are 6 integers that are factors of 3716. The greatest factor of 3716 is 3716.

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 3716 and 3723?

Answer:

Greatest Common Factor of 3716 and 3723 = 1

Step 1: Find the prime factorization of 3716

3716 = 2 x 2 x 929

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 = = 1

Step 4: Therefore, the greatest common factor of 3716 and 3723 is 1