Greatest Common Factor of 3715 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 3715, 3720 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3715 and 3720 is 5.

GCF(3715,3720) = 5

GCF of 3715 and 3720

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

GCF of:
and

Greatest Common Factor of 3715 and 3720

GCF of 3715 and 3720 is 5

Prime Factorization of 3715


5 3715
743 743
1

Prime factors of 3715 are 5,743. Prime factorization of 3715 in exponential form is:

3715 = 51×7431

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 3715 and 3720 is 5

Greatest Common Factor of 3715 and 3720 by matching factors method

Factors of 3715

List of positive integer factors of 3715 that divides 3715 without a remainder.

1,5,743,3715

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 3715 and 3720. The biggest common factor number is the GCF number.
So the greatest common factor 3715 and 3720 is 5.

Also check out the Least Common Multiple of 3715 and 3720

Properties of GCF 3715 and 3720

(i) The GCF of 3715 and 3720 is associative

GCF of 3715 and 3720 = GCF of 3720 and 3715

Related Greatest Common Factor of 3715

Related Greatest Common Factor of 3720

Frequently Asked Questions on GCF of 3715 and 3720

1. What is the GCF of 3715 and 3720?

Answer: GCF of 3715 and 3720 is 5.

2. What are the Factors of 3715?

Answer: Factors of 3715 are 1, 5, 743, 3715. There are 4 integers that are factors of 3715. The greatest factor of 3715 is 3715.

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 3715 and 3720?

Answer:

Greatest Common Factor of 3715 and 3720 = 5

Step 1: Find the prime factorization of 3715

3715 = 5 x 743

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 = 5

Step 4: Therefore, the greatest common factor of 3715 and 3720 is 5