Greatest Common Factor of 9018 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 9018, 9019 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9018 and 9019 is 1.

GCF(9018,9019) = 1

GCF of 9018 and 9019

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

GCF of:
and

Greatest Common Factor of 9018 and 9019

GCF of 9018 and 9019 is 1

Prime Factorization of 9018


2 9018
3 4509
3 1503
3 501
167 167
1

Prime factors of 9018 are 2,3,167. Prime factorization of 9018 in exponential form is:

9018 = 21×33×1671

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 9018 and 9019 is 1

Greatest Common Factor of 9018 and 9019 by matching factors method

Factors of 9018

List of positive integer factors of 9018 that divides 9018 without a remainder.

1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018

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 9018 and 9019. The biggest common factor number is the GCF number.
So the greatest common factor 9018 and 9019 is 1.

Also check out the Least Common Multiple of 9018 and 9019

Properties of GCF 9018 and 9019

(i) The GCF of 9018 and 9019 is associative

GCF of 9018 and 9019 = GCF of 9019 and 9018

Frequently Asked Questions on GCF of 9018 and 9019

1. What is the GCF of 9018 and 9019?

Answer: GCF of 9018 and 9019 is 1.

2. What are the Factors of 9018?

Answer: Factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018. There are 16 integers that are factors of 9018. The greatest factor of 9018 is 9018.

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 9018 and 9019?

Answer:

Greatest Common Factor of 9018 and 9019 = 1

Step 1: Find the prime factorization of 9018

9018 = 2 x 3 x 3 x 3 x 167

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 9018 and 9019 is 1