Greatest Common Factor of 6660 and 6665

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 6660, 6665 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6660 and 6665 is 5.

GCF(6660,6665) = 5

GCF of 6660 and 6665

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

GCF of:
and

Greatest Common Factor of 6660 and 6665

GCF of 6660 and 6665 is 5

Prime Factorization of 6660


2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 6660 are 2,3,5,37. Prime factorization of 6660 in exponential form is:

6660 = 22×32×51×371

Prime Factorization of 6665


5 6665
31 1333
43 43
1

Prime factors of 6665 are 5,31,43. Prime factorization of 6665 in exponential form is:

6665 = 51×311×431

∴ So by taking common prime factors GCF of 6660 and 6665 is 5

Greatest Common Factor of 6660 and 6665 by matching factors method

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660

Factors of 6665

List of positive integer factors of 6665 that divides 6665 without a remainder.

1,5,31,43,155,215,1333,6665

Greatest Common Factor

We found the factors and prime factorization of 6660 and 6665. The biggest common factor number is the GCF number.
So the greatest common factor 6660 and 6665 is 5.

Also check out the Least Common Multiple of 6660 and 6665

Properties of GCF 6660 and 6665

(i) The GCF of 6660 and 6665 is associative

GCF of 6660 and 6665 = GCF of 6665 and 6660

Related Greatest Common Factor of 6660

Related Greatest Common Factor of 6665

Frequently Asked Questions on GCF of 6660 and 6665

1. What is the GCF of 6660 and 6665?

Answer: GCF of 6660 and 6665 is 5.

2. What are the Factors of 6660?

Answer: Factors of 6660 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 37, 45, 60, 74, 90, 111, 148, 180, 185, 222, 333, 370, 444, 555, 666, 740, 1110, 1332, 1665, 2220, 3330, 6660. There are 36 integers that are factors of 6660. The greatest factor of 6660 is 6660.

3. What are the Factors of 6665?

Answer: Factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665. There are 8 integers that are factors of 6665. The greatest factor of 6665 is 6665.

4. How to Find the GCF of 6660 and 6665?

Answer:

Greatest Common Factor of 6660 and 6665 = 5

Step 1: Find the prime factorization of 6660

6660 = 2 x 2 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 6665

6665 = 5 x 31 x 43

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 6660 and 6665 is 5