Greatest Common Factor of 29034 and 29040

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 29034, 29040 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29034 and 29040 is 6.

GCF(29034,29040) = 6

GCF of 29034 and 29040

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

GCF of:
and

Greatest Common Factor of 29034 and 29040

GCF of 29034 and 29040 is 6

Prime Factorization of 29034


2 29034
3 14517
3 4839
1613 1613
1

Prime factors of 29034 are 2,3,1613. Prime factorization of 29034 in exponential form is:

29034 = 21×32×16131

Prime Factorization of 29040


2 29040
2 14520
2 7260
2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 29040 are 2,3,5,11. Prime factorization of 29040 in exponential form is:

29040 = 24×31×51×112

∴ So by taking common prime factors GCF of 29034 and 29040 is 6

Greatest Common Factor of 29034 and 29040 by matching factors method

Factors of 29034

List of positive integer factors of 29034 that divides 29034 without a remainder.

1,2,3,6,9,18,1613,3226,4839,9678,14517,29034

Factors of 29040

List of positive integer factors of 29040 that divides 29040 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,121,132,165,176,220,240,242,264,330,363,440,484,528,605,660,726,880,968,1210,1320,1452,1815,1936,2420,2640,2904,3630,4840,5808,7260,9680,14520,29040

Greatest Common Factor

We found the factors and prime factorization of 29034 and 29040. The biggest common factor number is the GCF number.
So the greatest common factor 29034 and 29040 is 6.

Also check out the Least Common Multiple of 29034 and 29040

Properties of GCF 29034 and 29040

(i) The GCF of 29034 and 29040 is associative

GCF of 29034 and 29040 = GCF of 29040 and 29034

Related Greatest Common Factor of 29034

Related Greatest Common Factor of 29040

Frequently Asked Questions on GCF of 29034 and 29040

1. What is the GCF of 29034 and 29040?

Answer: GCF of 29034 and 29040 is 6.

2. What are the Factors of 29034?

Answer: Factors of 29034 are 1, 2, 3, 6, 9, 18, 1613, 3226, 4839, 9678, 14517, 29034. There are 12 integers that are factors of 29034. The greatest factor of 29034 is 29034.

3. What are the Factors of 29040?

Answer: Factors of 29040 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 121, 132, 165, 176, 220, 240, 242, 264, 330, 363, 440, 484, 528, 605, 660, 726, 880, 968, 1210, 1320, 1452, 1815, 1936, 2420, 2640, 2904, 3630, 4840, 5808, 7260, 9680, 14520, 29040. There are 60 integers that are factors of 29040. The greatest factor of 29040 is 29040.

4. How to Find the GCF of 29034 and 29040?

Answer:

Greatest Common Factor of 29034 and 29040 = 6

Step 1: Find the prime factorization of 29034

29034 = 2 x 3 x 3 x 1613

Step 2: Find the prime factorization of 29040

29040 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11

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 29034 and 29040 is 6