What are the Factors of 7009?

Factors of 7009 are . There are integers that are factors of 7009. The greatest factor of 7009 is 7009.

What are the Factors of 7014?

Factors of 7014 are . There are integers that are factors of 7014. The greatest factor of 7014 is 7014.

How to Find the GCF of 7009 and 7014?

Greatest Common Factor of 7009 and 7014 = 1 Step 1: Find the prime factorization of 7009 7009 = [1, 43, 163, 7009] Step 2: Find the prime factorization of 7014 7014 = [1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014] 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 7009 and 7014 is 1.

What are the Factors of 7009?

Factors of 7009 are . There are integers that are factors of 7009. The greatest factor of 7009 is 7009.

What are the Factors of 7014?

Factors of 7014 are . There are integers that are factors of 7014. The greatest factor of 7014 is 7014.

How to Find the GCF of 7009 and 7014?

Greatest Common Factor of 7009 and 7014 = 1 Step 1: Find the prime factorization of 7009 7009 = [1, 43, 163, 7009] Step 2: Find the prime factorization of 7014 7014 = [1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014] 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 7009 and 7014 is 1.

GCF of 7009 and 7014

Created By : Prasanna
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Want to know what the GCF of 7009 and 7014 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 7009 and 7014. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 7009, 7014 using Factoring

In this method, we have to list the factors of 7009 and 7014 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 7009 are 1 , 43 , 163 , and 7009

The factors of 7014 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42 , 167 , 334 , 501 , 1002 , 1169 , 2338 , 3507 , and 7014

As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 7009 and 7014 is 1.

Greatest Common Factor of 7009, 7014 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 7009 and 7014 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.

7009, 7014

From the picture, we can see that 7009 and 7014 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 7009 and 7014 is 1.

Find the GCF of 7009 and 7014

Given numbers are 7009 and 7014

To find the greatest common factor of 7009 and 7014

The GCF of 7009 and 7014 is 1.

FAQs on GCF of 7009 and 7014

1. What are the LCM and GCF of 7009 and 7014?

The LCM and GCF of 7009 and 7014 are 49161126 and 1.

2. How to get the GCF of 7009 and 7014?

The GCF of 7009 and 7014 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.

3. What are the Methods to Find GCF of 7009, 7014?

The 2 different methods to find the greatest common factor of 7009 and 7014 are prime factorization and factors of both numbers.