Greatest Common Factor of 7011 and 7017

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 7011, 7017 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7011 and 7017 is 3.

GCF(7011,7017) = 3

GCF of 7011 and 7017

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

GCF of:
and

Greatest Common Factor of 7011 and 7017

GCF of 7011 and 7017 is 3

Prime Factorization of 7011


3 7011
3 2337
19 779
41 41
1

Prime factors of 7011 are 3,19,41. Prime factorization of 7011 in exponential form is:

7011 = 32×191×411

Prime Factorization of 7017


3 7017
2339 2339
1

Prime factors of 7017 are 3,2339. Prime factorization of 7017 in exponential form is:

7017 = 31×23391

∴ So by taking common prime factors GCF of 7011 and 7017 is 3

Greatest Common Factor of 7011 and 7017 by matching factors method

Factors of 7011

List of positive integer factors of 7011 that divides 7011 without a remainder.

1,3,9,19,41,57,123,171,369,779,2337,7011

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1,3,2339,7017

Greatest Common Factor

We found the factors and prime factorization of 7011 and 7017. The biggest common factor number is the GCF number.
So the greatest common factor 7011 and 7017 is 3.

Also check out the Least Common Multiple of 7011 and 7017

Properties of GCF 7011 and 7017

(i) The GCF of 7011 and 7017 is associative

GCF of 7011 and 7017 = GCF of 7017 and 7011

Related Greatest Common Factor of 7011

Related Greatest Common Factor of 7017

Frequently Asked Questions on GCF of 7011 and 7017

1. What is the GCF of 7011 and 7017?

Answer: GCF of 7011 and 7017 is 3.

2. What are the Factors of 7011?

Answer: Factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011. There are 12 integers that are factors of 7011. The greatest factor of 7011 is 7011.

3. What are the Factors of 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

4. How to Find the GCF of 7011 and 7017?

Answer:

Greatest Common Factor of 7011 and 7017 = 3

Step 1: Find the prime factorization of 7011

7011 = 3 x 3 x 19 x 41

Step 2: Find the prime factorization of 7017

7017 = 3 x 2339

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 7011 and 7017 is 3