Greatest Common Factor of 4017 and 4023

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 4017, 4023 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4017 and 4023 is 3.

GCF(4017,4023) = 3

GCF of 4017 and 4023

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

GCF of:
and

Greatest Common Factor of 4017 and 4023

GCF of 4017 and 4023 is 3

Prime Factorization of 4017


3 4017
13 1339
103 103
1

Prime factors of 4017 are 3,13,103. Prime factorization of 4017 in exponential form is:

4017 = 31×131×1031

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

∴ So by taking common prime factors GCF of 4017 and 4023 is 3

Greatest Common Factor of 4017 and 4023 by matching factors method

Factors of 4017

List of positive integer factors of 4017 that divides 4017 without a remainder.

1,3,13,39,103,309,1339,4017

Factors of 4023

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

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

Greatest Common Factor

We found the factors and prime factorization of 4017 and 4023. The biggest common factor number is the GCF number.
So the greatest common factor 4017 and 4023 is 3.

Also check out the Least Common Multiple of 4017 and 4023

Properties of GCF 4017 and 4023

(i) The GCF of 4017 and 4023 is associative

GCF of 4017 and 4023 = GCF of 4023 and 4017

Related Greatest Common Factor of 4017

Related Greatest Common Factor of 4023

Frequently Asked Questions on GCF of 4017 and 4023

1. What is the GCF of 4017 and 4023?

Answer: GCF of 4017 and 4023 is 3.

2. What are the Factors of 4017?

Answer: Factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017. There are 8 integers that are factors of 4017. The greatest factor of 4017 is 4017.

3. 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.

4. How to Find the GCF of 4017 and 4023?

Answer:

Greatest Common Factor of 4017 and 4023 = 3

Step 1: Find the prime factorization of 4017

4017 = 3 x 13 x 103

Step 2: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

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 4017 and 4023 is 3