Greatest Common Factor of 29004 and 29010

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 29004, 29010 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29004 and 29010 is 6.

GCF(29004,29010) = 6

GCF of 29004 and 29010

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

GCF of:
and

Greatest Common Factor of 29004 and 29010

GCF of 29004 and 29010 is 6

Prime Factorization of 29004


2 29004
2 14502
3 7251
2417 2417
1

Prime factors of 29004 are 2,3,2417. Prime factorization of 29004 in exponential form is:

29004 = 22×31×24171

Prime Factorization of 29010


2 29010
3 14505
5 4835
967 967
1

Prime factors of 29010 are 2,3,5,967. Prime factorization of 29010 in exponential form is:

29010 = 21×31×51×9671

∴ So by taking common prime factors GCF of 29004 and 29010 is 6

Greatest Common Factor of 29004 and 29010 by matching factors method

Factors of 29004

List of positive integer factors of 29004 that divides 29004 without a remainder.

1,2,3,4,6,12,2417,4834,7251,9668,14502,29004

Factors of 29010

List of positive integer factors of 29010 that divides 29010 without a remainder.

1,2,3,5,6,10,15,30,967,1934,2901,4835,5802,9670,14505,29010

Greatest Common Factor

We found the factors and prime factorization of 29004 and 29010. The biggest common factor number is the GCF number.
So the greatest common factor 29004 and 29010 is 6.

Also check out the Least Common Multiple of 29004 and 29010

Properties of GCF 29004 and 29010

(i) The GCF of 29004 and 29010 is associative

GCF of 29004 and 29010 = GCF of 29010 and 29004

Related Greatest Common Factor of 29004

Related Greatest Common Factor of 29010

Frequently Asked Questions on GCF of 29004 and 29010

1. What is the GCF of 29004 and 29010?

Answer: GCF of 29004 and 29010 is 6.

2. What are the Factors of 29004?

Answer: Factors of 29004 are 1, 2, 3, 4, 6, 12, 2417, 4834, 7251, 9668, 14502, 29004. There are 12 integers that are factors of 29004. The greatest factor of 29004 is 29004.

3. What are the Factors of 29010?

Answer: Factors of 29010 are 1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505, 29010. There are 16 integers that are factors of 29010. The greatest factor of 29010 is 29010.

4. How to Find the GCF of 29004 and 29010?

Answer:

Greatest Common Factor of 29004 and 29010 = 6

Step 1: Find the prime factorization of 29004

29004 = 2 x 2 x 3 x 2417

Step 2: Find the prime factorization of 29010

29010 = 2 x 3 x 5 x 967

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 29004 and 29010 is 6