Greatest Common Factor of 27000 and 27006

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, 27006 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27000 and 27006 is 6.

GCF(27000,27006) = 6

GCF of 27000 and 27006

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

GCF of:
and

Greatest Common Factor of 27000 and 27006

GCF of 27000 and 27006 is 6

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 27006


2 27006
3 13503
7 4501
643 643
1

Prime factors of 27006 are 2,3,7,643. Prime factorization of 27006 in exponential form is:

27006 = 21×31×71×6431

∴ So by taking common prime factors GCF of 27000 and 27006 is 6

Greatest Common Factor of 27000 and 27006 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 27006

List of positive integer factors of 27006 that divides 27006 without a remainder.

1,2,3,6,7,14,21,42,643,1286,1929,3858,4501,9002,13503,27006

Greatest Common Factor

We found the factors and prime factorization of 27000 and 27006. The biggest common factor number is the GCF number.
So the greatest common factor 27000 and 27006 is 6.

Also check out the Least Common Multiple of 27000 and 27006

Properties of GCF 27000 and 27006

(i) The GCF of 27000 and 27006 is associative

GCF of 27000 and 27006 = GCF of 27006 and 27000

Related Greatest Common Factor of 27000

Related Greatest Common Factor of 27006

Frequently Asked Questions on GCF of 27000 and 27006

1. What is the GCF of 27000 and 27006?

Answer: GCF of 27000 and 27006 is 6.

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 27006?

Answer: Factors of 27006 are 1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503, 27006. There are 16 integers that are factors of 27006. The greatest factor of 27006 is 27006.

4. How to Find the GCF of 27000 and 27006?

Answer:

Greatest Common Factor of 27000 and 27006 = 6

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 27006

27006 = 2 x 3 x 7 x 643

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 27000 and 27006 is 6