Greatest Common Factor of 3660 and 3665

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 3660, 3665 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3660 and 3665 is 5.

GCF(3660,3665) = 5

GCF of 3660 and 3665

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

GCF of:
and

Greatest Common Factor of 3660 and 3665

GCF of 3660 and 3665 is 5

Prime Factorization of 3660


2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 3660 are 2,3,5,61. Prime factorization of 3660 in exponential form is:

3660 = 22×31×51×611

Prime Factorization of 3665


5 3665
733 733
1

Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:

3665 = 51×7331

∴ So by taking common prime factors GCF of 3660 and 3665 is 5

Greatest Common Factor of 3660 and 3665 by matching factors method

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Greatest Common Factor

We found the factors and prime factorization of 3660 and 3665. The biggest common factor number is the GCF number.
So the greatest common factor 3660 and 3665 is 5.

Also check out the Least Common Multiple of 3660 and 3665

Properties of GCF 3660 and 3665

(i) The GCF of 3660 and 3665 is associative

GCF of 3660 and 3665 = GCF of 3665 and 3660

Related Greatest Common Factor of 3660

Related Greatest Common Factor of 3665

Frequently Asked Questions on GCF of 3660 and 3665

1. What is the GCF of 3660 and 3665?

Answer: GCF of 3660 and 3665 is 5.

2. What are the Factors of 3660?

Answer: Factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660. There are 24 integers that are factors of 3660. The greatest factor of 3660 is 3660.

3. What are the Factors of 3665?

Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.

4. How to Find the GCF of 3660 and 3665?

Answer:

Greatest Common Factor of 3660 and 3665 = 5

Step 1: Find the prime factorization of 3660

3660 = 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 3665

3665 = 5 x 733

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 3660 and 3665 is 5