Greatest Common Factor of 3714 and 3720

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 3714, 3720 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3714 and 3720 is 6.

GCF(3714,3720) = 6

GCF of 3714 and 3720

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

GCF of:
and

Greatest Common Factor of 3714 and 3720

GCF of 3714 and 3720 is 6

Prime Factorization of 3714


2 3714
3 1857
619 619
1

Prime factors of 3714 are 2,3,619. Prime factorization of 3714 in exponential form is:

3714 = 21×31×6191

Prime Factorization of 3720


2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 3720 are 2,3,5,31. Prime factorization of 3720 in exponential form is:

3720 = 23×31×51×311

∴ So by taking common prime factors GCF of 3714 and 3720 is 6

Greatest Common Factor of 3714 and 3720 by matching factors method

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Greatest Common Factor

We found the factors and prime factorization of 3714 and 3720. The biggest common factor number is the GCF number.
So the greatest common factor 3714 and 3720 is 6.

Also check out the Least Common Multiple of 3714 and 3720

Properties of GCF 3714 and 3720

(i) The GCF of 3714 and 3720 is associative

GCF of 3714 and 3720 = GCF of 3720 and 3714

Related Greatest Common Factor of 3714

Related Greatest Common Factor of 3720

Frequently Asked Questions on GCF of 3714 and 3720

1. What is the GCF of 3714 and 3720?

Answer: GCF of 3714 and 3720 is 6.

2. What are the Factors of 3714?

Answer: Factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714. There are 8 integers that are factors of 3714. The greatest factor of 3714 is 3714.

3. What are the Factors of 3720?

Answer: Factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720. There are 32 integers that are factors of 3720. The greatest factor of 3720 is 3720.

4. How to Find the GCF of 3714 and 3720?

Answer:

Greatest Common Factor of 3714 and 3720 = 6

Step 1: Find the prime factorization of 3714

3714 = 2 x 3 x 619

Step 2: Find the prime factorization of 3720

3720 = 2 x 2 x 2 x 3 x 5 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3714 and 3720 is 6