Greatest Common Factor of 29000 and 29004

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 29000, 29004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29000 and 29004 is 4.

GCF(29000,29004) = 4

GCF of 29000 and 29004

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

GCF of:
and

Greatest Common Factor of 29000 and 29004

GCF of 29000 and 29004 is 4

Prime Factorization of 29000


2 29000
2 14500
2 7250
5 3625
5 725
5 145
29 29
1

Prime factors of 29000 are 2,5,29. Prime factorization of 29000 in exponential form is:

29000 = 23×53×291

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

∴ So by taking common prime factors GCF of 29000 and 29004 is 4

Greatest Common Factor of 29000 and 29004 by matching factors method

Factors of 29000

List of positive integer factors of 29000 that divides 29000 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,125,145,200,232,250,290,500,580,725,1000,1160,1450,2900,3625,5800,7250,14500,29000

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

Greatest Common Factor

We found the factors and prime factorization of 29000 and 29004. The biggest common factor number is the GCF number.
So the greatest common factor 29000 and 29004 is 4.

Also check out the Least Common Multiple of 29000 and 29004

Properties of GCF 29000 and 29004

(i) The GCF of 29000 and 29004 is associative

GCF of 29000 and 29004 = GCF of 29004 and 29000

Related Greatest Common Factor of 29000

Related Greatest Common Factor of 29004

Frequently Asked Questions on GCF of 29000 and 29004

1. What is the GCF of 29000 and 29004?

Answer: GCF of 29000 and 29004 is 4.

2. What are the Factors of 29000?

Answer: Factors of 29000 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 125, 145, 200, 232, 250, 290, 500, 580, 725, 1000, 1160, 1450, 2900, 3625, 5800, 7250, 14500, 29000. There are 32 integers that are factors of 29000. The greatest factor of 29000 is 29000.

3. 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.

4. How to Find the GCF of 29000 and 29004?

Answer:

Greatest Common Factor of 29000 and 29004 = 4

Step 1: Find the prime factorization of 29000

29000 = 2 x 2 x 2 x 5 x 5 x 5 x 29

Step 2: Find the prime factorization of 29004

29004 = 2 x 2 x 3 x 2417

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 29000 and 29004 is 4