Greatest Common Factor of 3723 and 3724

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, 3724 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3723 and 3724 is 1.

GCF(3723,3724) = 1

GCF of 3723 and 3724

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

GCF of:
and

Greatest Common Factor of 3723 and 3724

GCF of 3723 and 3724 is 1

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 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2,7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

∴ So by taking common prime factors GCF of 3723 and 3724 is 1

Greatest Common Factor of 3723 and 3724 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 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724

Greatest Common Factor

We found the factors and prime factorization of 3723 and 3724. The biggest common factor number is the GCF number.
So the greatest common factor 3723 and 3724 is 1.

Also check out the Least Common Multiple of 3723 and 3724

Properties of GCF 3723 and 3724

(i) The GCF of 3723 and 3724 is associative

GCF of 3723 and 3724 = GCF of 3724 and 3723

Related Greatest Common Factor of 3723

Related Greatest Common Factor of 3724

Frequently Asked Questions on GCF of 3723 and 3724

1. What is the GCF of 3723 and 3724?

Answer: GCF of 3723 and 3724 is 1.

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 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

4. How to Find the GCF of 3723 and 3724?

Answer:

Greatest Common Factor of 3723 and 3724 = 1

Step 1: Find the prime factorization of 3723

3723 = 3 x 17 x 73

Step 2: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

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 3723 and 3724 is 1