Greatest Common Factor of 4017 and 4021

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, 4021 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4017 and 4021 is 1.

GCF(4017,4021) = 1

GCF of 4017 and 4021

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

GCF of:
and

Greatest Common Factor of 4017 and 4021

GCF of 4017 and 4021 is 1

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 4021


4021 4021
1

Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:

4021 = 40211

∴ So by taking common prime factors GCF of 4017 and 4021 is 1

Greatest Common Factor of 4017 and 4021 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 4021

List of positive integer factors of 4021 that divides 4021 without a remainder.

1,4021

Greatest Common Factor

We found the factors and prime factorization of 4017 and 4021. The biggest common factor number is the GCF number.
So the greatest common factor 4017 and 4021 is 1.

Also check out the Least Common Multiple of 4017 and 4021

Properties of GCF 4017 and 4021

(i) The GCF of 4017 and 4021 is associative

GCF of 4017 and 4021 = GCF of 4021 and 4017

Frequently Asked Questions on GCF of 4017 and 4021

1. What is the GCF of 4017 and 4021?

Answer: GCF of 4017 and 4021 is 1.

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 4021?

Answer: Factors of 4021 are 1, 4021. There are 2 integers that are factors of 4021. The greatest factor of 4021 is 4021.

4. How to Find the GCF of 4017 and 4021?

Answer:

Greatest Common Factor of 4017 and 4021 = 1

Step 1: Find the prime factorization of 4017

4017 = 3 x 13 x 103

Step 2: Find the prime factorization of 4021

4021 = 4021

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 4017 and 4021 is 1