Greatest Common Factor of 4023 and 4029

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 4023, 4029 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4023 and 4029 is 3.

GCF(4023,4029) = 3

GCF of 4023 and 4029

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

GCF of:
and

Greatest Common Factor of 4023 and 4029

GCF of 4023 and 4029 is 3

Prime Factorization of 4023


3 4023
3 1341
3 447
149 149
1

Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:

4023 = 33×1491

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

∴ So by taking common prime factors GCF of 4023 and 4029 is 3

Greatest Common Factor of 4023 and 4029 by matching factors method

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1,3,9,27,149,447,1341,4023

Factors of 4029

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

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

Greatest Common Factor

We found the factors and prime factorization of 4023 and 4029. The biggest common factor number is the GCF number.
So the greatest common factor 4023 and 4029 is 3.

Also check out the Least Common Multiple of 4023 and 4029

Properties of GCF 4023 and 4029

(i) The GCF of 4023 and 4029 is associative

GCF of 4023 and 4029 = GCF of 4029 and 4023

Related Greatest Common Factor of 4023

Related Greatest Common Factor of 4029

Frequently Asked Questions on GCF of 4023 and 4029

1. What is the GCF of 4023 and 4029?

Answer: GCF of 4023 and 4029 is 3.

2. What are the Factors of 4023?

Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.

3. 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.

4. How to Find the GCF of 4023 and 4029?

Answer:

Greatest Common Factor of 4023 and 4029 = 3

Step 1: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

Step 2: Find the prime factorization of 4029

4029 = 3 x 17 x 79

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 4023 and 4029 is 3