Greatest Common Factor of 3720 and 3725

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 3720, 3725 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3720 and 3725 is 5.

GCF(3720,3725) = 5

GCF of 3720 and 3725

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

GCF of:
and

Greatest Common Factor of 3720 and 3725

GCF of 3720 and 3725 is 5

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

Prime Factorization of 3725


5 3725
5 745
149 149
1

Prime factors of 3725 are 5,149. Prime factorization of 3725 in exponential form is:

3725 = 52×1491

∴ So by taking common prime factors GCF of 3720 and 3725 is 5

Greatest Common Factor of 3720 and 3725 by matching factors method

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

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1,5,25,149,745,3725

Greatest Common Factor

We found the factors and prime factorization of 3720 and 3725. The biggest common factor number is the GCF number.
So the greatest common factor 3720 and 3725 is 5.

Also check out the Least Common Multiple of 3720 and 3725

Properties of GCF 3720 and 3725

(i) The GCF of 3720 and 3725 is associative

GCF of 3720 and 3725 = GCF of 3725 and 3720

Related Greatest Common Factor of 3720

Related Greatest Common Factor of 3725

Frequently Asked Questions on GCF of 3720 and 3725

1. What is the GCF of 3720 and 3725?

Answer: GCF of 3720 and 3725 is 5.

2. 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.

3. What are the Factors of 3725?

Answer: Factors of 3725 are 1, 5, 25, 149, 745, 3725. There are 6 integers that are factors of 3725. The greatest factor of 3725 is 3725.

4. How to Find the GCF of 3720 and 3725?

Answer:

Greatest Common Factor of 3720 and 3725 = 5

Step 1: Find the prime factorization of 3720

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

Step 2: Find the prime factorization of 3725

3725 = 5 x 5 x 149

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 3720 and 3725 is 5