Greatest Common Factor of 30000 and 30006

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 30000, 30006 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30000 and 30006 is 6.

GCF(30000,30006) = 6

GCF of 30000 and 30006

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

GCF of:
and

Greatest Common Factor of 30000 and 30006

GCF of 30000 and 30006 is 6

Prime Factorization of 30000


2 30000
2 15000
2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 30000 are 2,3,5. Prime factorization of 30000 in exponential form is:

30000 = 24×31×54

Prime Factorization of 30006


2 30006
3 15003
3 5001
1667 1667
1

Prime factors of 30006 are 2,3,1667. Prime factorization of 30006 in exponential form is:

30006 = 21×32×16671

∴ So by taking common prime factors GCF of 30000 and 30006 is 6

Greatest Common Factor of 30000 and 30006 by matching factors method

Factors of 30000

List of positive integer factors of 30000 that divides 30000 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,625,750,1000,1200,1250,1500,1875,2000,2500,3000,3750,5000,6000,7500,10000,15000,30000

Factors of 30006

List of positive integer factors of 30006 that divides 30006 without a remainder.

1,2,3,6,9,18,1667,3334,5001,10002,15003,30006

Greatest Common Factor

We found the factors and prime factorization of 30000 and 30006. The biggest common factor number is the GCF number.
So the greatest common factor 30000 and 30006 is 6.

Also check out the Least Common Multiple of 30000 and 30006

Properties of GCF 30000 and 30006

(i) The GCF of 30000 and 30006 is associative

GCF of 30000 and 30006 = GCF of 30006 and 30000

Related Greatest Common Factor of 30000

Related Greatest Common Factor of 30006

Frequently Asked Questions on GCF of 30000 and 30006

1. What is the GCF of 30000 and 30006?

Answer: GCF of 30000 and 30006 is 6.

2. What are the Factors of 30000?

Answer: Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. There are 50 integers that are factors of 30000. The greatest factor of 30000 is 30000.

3. What are the Factors of 30006?

Answer: Factors of 30006 are 1, 2, 3, 6, 9, 18, 1667, 3334, 5001, 10002, 15003, 30006. There are 12 integers that are factors of 30006. The greatest factor of 30006 is 30006.

4. How to Find the GCF of 30000 and 30006?

Answer:

Greatest Common Factor of 30000 and 30006 = 6

Step 1: Find the prime factorization of 30000

30000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 30006

30006 = 2 x 3 x 3 x 1667

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 30000 and 30006 is 6