Greatest Common Factor of 9017 and 9019

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 9017, 9019 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9017 and 9019 is 1.

GCF(9017,9019) = 1

GCF of 9017 and 9019

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

GCF of:
and

Greatest Common Factor of 9017 and 9019

GCF of 9017 and 9019 is 1

Prime Factorization of 9017


71 9017
127 127
1

Prime factors of 9017 are 71,127. Prime factorization of 9017 in exponential form is:

9017 = 711×1271

Prime Factorization of 9019


29 9019
311 311
1

Prime factors of 9019 are 29,311. Prime factorization of 9019 in exponential form is:

9019 = 291×3111

∴ So by taking common prime factors GCF of 9017 and 9019 is 1

Greatest Common Factor of 9017 and 9019 by matching factors method

Factors of 9017

List of positive integer factors of 9017 that divides 9017 without a remainder.

1,71,127,9017

Factors of 9019

List of positive integer factors of 9019 that divides 9019 without a remainder.

1,29,311,9019

Greatest Common Factor

We found the factors and prime factorization of 9017 and 9019. The biggest common factor number is the GCF number.
So the greatest common factor 9017 and 9019 is 1.

Also check out the Least Common Multiple of 9017 and 9019

Properties of GCF 9017 and 9019

(i) The GCF of 9017 and 9019 is associative

GCF of 9017 and 9019 = GCF of 9019 and 9017

Frequently Asked Questions on GCF of 9017 and 9019

1. What is the GCF of 9017 and 9019?

Answer: GCF of 9017 and 9019 is 1.

2. What are the Factors of 9017?

Answer: Factors of 9017 are 1, 71, 127, 9017. There are 4 integers that are factors of 9017. The greatest factor of 9017 is 9017.

3. What are the Factors of 9019?

Answer: Factors of 9019 are 1, 29, 311, 9019. There are 4 integers that are factors of 9019. The greatest factor of 9019 is 9019.

4. How to Find the GCF of 9017 and 9019?

Answer:

Greatest Common Factor of 9017 and 9019 = 1

Step 1: Find the prime factorization of 9017

9017 = 71 x 127

Step 2: Find the prime factorization of 9019

9019 = 29 x 311

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 9017 and 9019 is 1