Greatest Common Factor of 29022 and 29025

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 29022, 29025 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 29022 and 29025 is 3.

GCF(29022,29025) = 3

GCF of 29022 and 29025

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

GCF of:
and

Greatest Common Factor of 29022 and 29025

GCF of 29022 and 29025 is 3

Prime Factorization of 29022


2 29022
3 14511
7 4837
691 691
1

Prime factors of 29022 are 2,3,7,691. Prime factorization of 29022 in exponential form is:

29022 = 21×31×71×6911

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

∴ So by taking common prime factors GCF of 29022 and 29025 is 3

Greatest Common Factor of 29022 and 29025 by matching factors method

Factors of 29022

List of positive integer factors of 29022 that divides 29022 without a remainder.

1,2,3,6,7,14,21,42,691,1382,2073,4146,4837,9674,14511,29022

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

Greatest Common Factor

We found the factors and prime factorization of 29022 and 29025. The biggest common factor number is the GCF number.
So the greatest common factor 29022 and 29025 is 3.

Also check out the Least Common Multiple of 29022 and 29025

Properties of GCF 29022 and 29025

(i) The GCF of 29022 and 29025 is associative

GCF of 29022 and 29025 = GCF of 29025 and 29022

Related Greatest Common Factor of 29022

Related Greatest Common Factor of 29025

Frequently Asked Questions on GCF of 29022 and 29025

1. What is the GCF of 29022 and 29025?

Answer: GCF of 29022 and 29025 is 3.

2. What are the Factors of 29022?

Answer: Factors of 29022 are 1, 2, 3, 6, 7, 14, 21, 42, 691, 1382, 2073, 4146, 4837, 9674, 14511, 29022. There are 16 integers that are factors of 29022. The greatest factor of 29022 is 29022.

3. 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.

4. How to Find the GCF of 29022 and 29025?

Answer:

Greatest Common Factor of 29022 and 29025 = 3

Step 1: Find the prime factorization of 29022

29022 = 2 x 3 x 7 x 691

Step 2: Find the prime factorization of 29025

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 29022 and 29025 is 3