Greatest Common Factor of 4029 and 4035

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 4029, 4035 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4029 and 4035 is 3.

GCF(4029,4035) = 3

GCF of 4029 and 4035

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

GCF of:
and

Greatest Common Factor of 4029 and 4035

GCF of 4029 and 4035 is 3

Prime Factorization of 4029


3 4029
17 1343
79 79
1

Prime factors of 4029 are 3,17,79. Prime factorization of 4029 in exponential form is:

4029 = 31×171×791

Prime Factorization of 4035


3 4035
5 1345
269 269
1

Prime factors of 4035 are 3,5,269. Prime factorization of 4035 in exponential form is:

4035 = 31×51×2691

∴ So by taking common prime factors GCF of 4029 and 4035 is 3

Greatest Common Factor of 4029 and 4035 by matching factors method

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1,3,17,51,79,237,1343,4029

Factors of 4035

List of positive integer factors of 4035 that divides 4035 without a remainder.

1,3,5,15,269,807,1345,4035

Greatest Common Factor

We found the factors and prime factorization of 4029 and 4035. The biggest common factor number is the GCF number.
So the greatest common factor 4029 and 4035 is 3.

Also check out the Least Common Multiple of 4029 and 4035

Properties of GCF 4029 and 4035

(i) The GCF of 4029 and 4035 is associative

GCF of 4029 and 4035 = GCF of 4035 and 4029

Related Greatest Common Factor of 4029

Related Greatest Common Factor of 4035

Frequently Asked Questions on GCF of 4029 and 4035

1. What is the GCF of 4029 and 4035?

Answer: GCF of 4029 and 4035 is 3.

2. What are the Factors of 4029?

Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.

3. What are the Factors of 4035?

Answer: Factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035. There are 8 integers that are factors of 4035. The greatest factor of 4035 is 4035.

4. How to Find the GCF of 4029 and 4035?

Answer:

Greatest Common Factor of 4029 and 4035 = 3

Step 1: Find the prime factorization of 4029

4029 = 3 x 17 x 79

Step 2: Find the prime factorization of 4035

4035 = 3 x 5 x 269

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 4029 and 4035 is 3