Greatest Common Factor of 27000 and 27008

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, 27008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27000 and 27008 is 8.

GCF(27000,27008) = 8

GCF of 27000 and 27008

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

GCF of:
and

Greatest Common Factor of 27000 and 27008

GCF of 27000 and 27008 is 8

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 27008


2 27008
2 13504
2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 27008 are 2,211. Prime factorization of 27008 in exponential form is:

27008 = 27×2111

∴ So by taking common prime factors GCF of 27000 and 27008 is 8

Greatest Common Factor of 27000 and 27008 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 27008

List of positive integer factors of 27008 that divides 27008 without a remainder.

1,2,4,8,16,32,64,128,211,422,844,1688,3376,6752,13504,27008

Greatest Common Factor

We found the factors and prime factorization of 27000 and 27008. The biggest common factor number is the GCF number.
So the greatest common factor 27000 and 27008 is 8.

Also check out the Least Common Multiple of 27000 and 27008

Properties of GCF 27000 and 27008

(i) The GCF of 27000 and 27008 is associative

GCF of 27000 and 27008 = GCF of 27008 and 27000

Related Greatest Common Factor of 27000

Related Greatest Common Factor of 27008

Frequently Asked Questions on GCF of 27000 and 27008

1. What is the GCF of 27000 and 27008?

Answer: GCF of 27000 and 27008 is 8.

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 27008?

Answer: Factors of 27008 are 1, 2, 4, 8, 16, 32, 64, 128, 211, 422, 844, 1688, 3376, 6752, 13504, 27008. There are 16 integers that are factors of 27008. The greatest factor of 27008 is 27008.

4. How to Find the GCF of 27000 and 27008?

Answer:

Greatest Common Factor of 27000 and 27008 = 8

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 27008

27008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 211

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 27000 and 27008 is 8