Greatest Common Factor of 27000 and 27005

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 27000, 27005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27000 and 27005 is 5.

GCF(27000,27005) = 5

GCF of 27000 and 27005

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

GCF of:
and

Greatest Common Factor of 27000 and 27005

GCF of 27000 and 27005 is 5

Prime Factorization of 27000


2 27000
2 13500
2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 27000 are 2,3,5. Prime factorization of 27000 in exponential form is:

27000 = 23×33×53

Prime Factorization of 27005


5 27005
11 5401
491 491
1

Prime factors of 27005 are 5,11,491. Prime factorization of 27005 in exponential form is:

27005 = 51×111×4911

∴ So by taking common prime factors GCF of 27000 and 27005 is 5

Greatest Common Factor of 27000 and 27005 by matching factors method

Factors of 27000

List of positive integer factors of 27000 that divides 27000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,125,135,150,180,200,216,225,250,270,300,360,375,450,500,540,600,675,750,900,1000,1080,1125,1350,1500,1800,2250,2700,3000,3375,4500,5400,6750,9000,13500,27000

Factors of 27005

List of positive integer factors of 27005 that divides 27005 without a remainder.

1,5,11,55,491,2455,5401,27005

Greatest Common Factor

We found the factors and prime factorization of 27000 and 27005. The biggest common factor number is the GCF number.
So the greatest common factor 27000 and 27005 is 5.

Also check out the Least Common Multiple of 27000 and 27005

Properties of GCF 27000 and 27005

(i) The GCF of 27000 and 27005 is associative

GCF of 27000 and 27005 = GCF of 27005 and 27000

Related Greatest Common Factor of 27000

Related Greatest Common Factor of 27005

Frequently Asked Questions on GCF of 27000 and 27005

1. What is the GCF of 27000 and 27005?

Answer: GCF of 27000 and 27005 is 5.

2. What are the Factors of 27000?

Answer: Factors of 27000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 125, 135, 150, 180, 200, 216, 225, 250, 270, 300, 360, 375, 450, 500, 540, 600, 675, 750, 900, 1000, 1080, 1125, 1350, 1500, 1800, 2250, 2700, 3000, 3375, 4500, 5400, 6750, 9000, 13500, 27000. There are 64 integers that are factors of 27000. The greatest factor of 27000 is 27000.

3. What are the Factors of 27005?

Answer: Factors of 27005 are 1, 5, 11, 55, 491, 2455, 5401, 27005. There are 8 integers that are factors of 27005. The greatest factor of 27005 is 27005.

4. How to Find the GCF of 27000 and 27005?

Answer:

Greatest Common Factor of 27000 and 27005 = 5

Step 1: Find the prime factorization of 27000

27000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 27005

27005 = 5 x 11 x 491

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 27000 and 27005 is 5