Greatest Common Factor of 30006 and 30012

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 30006, 30012 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 30006 and 30012 is 6.

GCF(30006,30012) = 6

GCF of 30006 and 30012

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

GCF of:
and

Greatest Common Factor of 30006 and 30012

GCF of 30006 and 30012 is 6

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

Prime Factorization of 30012


2 30012
2 15006
3 7503
41 2501
61 61
1

Prime factors of 30012 are 2,3,41,61. Prime factorization of 30012 in exponential form is:

30012 = 22×31×411×611

∴ So by taking common prime factors GCF of 30006 and 30012 is 6

Greatest Common Factor of 30006 and 30012 by matching factors method

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

Factors of 30012

List of positive integer factors of 30012 that divides 30012 without a remainder.

1,2,3,4,6,12,41,61,82,122,123,164,183,244,246,366,492,732,2501,5002,7503,10004,15006,30012

Greatest Common Factor

We found the factors and prime factorization of 30006 and 30012. The biggest common factor number is the GCF number.
So the greatest common factor 30006 and 30012 is 6.

Also check out the Least Common Multiple of 30006 and 30012

Properties of GCF 30006 and 30012

(i) The GCF of 30006 and 30012 is associative

GCF of 30006 and 30012 = GCF of 30012 and 30006

Related Greatest Common Factor of 30006

Related Greatest Common Factor of 30012

Frequently Asked Questions on GCF of 30006 and 30012

1. What is the GCF of 30006 and 30012?

Answer: GCF of 30006 and 30012 is 6.

2. 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.

3. What are the Factors of 30012?

Answer: Factors of 30012 are 1, 2, 3, 4, 6, 12, 41, 61, 82, 122, 123, 164, 183, 244, 246, 366, 492, 732, 2501, 5002, 7503, 10004, 15006, 30012. There are 24 integers that are factors of 30012. The greatest factor of 30012 is 30012.

4. How to Find the GCF of 30006 and 30012?

Answer:

Greatest Common Factor of 30006 and 30012 = 6

Step 1: Find the prime factorization of 30006

30006 = 2 x 3 x 3 x 1667

Step 2: Find the prime factorization of 30012

30012 = 2 x 2 x 3 x 41 x 61

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 30006 and 30012 is 6