Greatest Common Factor of 29025 and 29029

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 29025, 29029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29025 and 29029 is 1.

GCF(29025,29029) = 1

GCF of 29025 and 29029

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

GCF of:
and

Greatest Common Factor of 29025 and 29029

GCF of 29025 and 29029 is 1

Prime Factorization of 29025


3 29025
3 9675
3 3225
5 1075
5 215
43 43
1

Prime factors of 29025 are 3,5,43. Prime factorization of 29025 in exponential form is:

29025 = 33×52×431

Prime Factorization of 29029


7 29029
11 4147
13 377
29 29
1

Prime factors of 29029 are 7,11,13,29. Prime factorization of 29029 in exponential form is:

29029 = 71×111×131×291

∴ So by taking common prime factors GCF of 29025 and 29029 is 1

Greatest Common Factor of 29025 and 29029 by matching factors method

Factors of 29025

List of positive integer factors of 29025 that divides 29025 without a remainder.

1,3,5,9,15,25,27,43,45,75,129,135,215,225,387,645,675,1075,1161,1935,3225,5805,9675,29025

Factors of 29029

List of positive integer factors of 29029 that divides 29029 without a remainder.

1,7,11,13,29,77,91,143,203,319,377,1001,2233,2639,4147,29029

Greatest Common Factor

We found the factors and prime factorization of 29025 and 29029. The biggest common factor number is the GCF number.
So the greatest common factor 29025 and 29029 is 1.

Also check out the Least Common Multiple of 29025 and 29029

Properties of GCF 29025 and 29029

(i) The GCF of 29025 and 29029 is associative

GCF of 29025 and 29029 = GCF of 29029 and 29025

Related Greatest Common Factor of 29025

Related Greatest Common Factor of 29029

Frequently Asked Questions on GCF of 29025 and 29029

1. What is the GCF of 29025 and 29029?

Answer: GCF of 29025 and 29029 is 1.

2. What are the Factors of 29025?

Answer: Factors of 29025 are 1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 129, 135, 215, 225, 387, 645, 675, 1075, 1161, 1935, 3225, 5805, 9675, 29025. There are 24 integers that are factors of 29025. The greatest factor of 29025 is 29025.

3. What are the Factors of 29029?

Answer: Factors of 29029 are 1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147, 29029. There are 16 integers that are factors of 29029. The greatest factor of 29029 is 29029.

4. How to Find the GCF of 29025 and 29029?

Answer:

Greatest Common Factor of 29025 and 29029 = 1

Step 1: Find the prime factorization of 29025

29025 = 3 x 3 x 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 29029

29029 = 7 x 11 x 13 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 29025 and 29029 is 1