What are the Factors of 6986?

Factors of 6986 are . There are integers that are factors of 6986. The greatest factor of 6986 is 6986.

What are the Factors of 6993?

Factors of 6993 are . There are integers that are factors of 6993. The greatest factor of 6993 is 6993.

How to Find the GCF of 6986 and 6993?

Greatest Common Factor of 6986 and 6993 = 7 Step 1: Find the prime factorization of 6986 6986 = [1, 2, 7, 14, 499, 998, 3493, 6986] Step 2: Find the prime factorization of 6993 6993 = [1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[7] = 7 Step 4: Therefore, the greatest common factor of 6986 and 6993 is 7.

What are the Factors of 6986?

Factors of 6986 are . There are integers that are factors of 6986. The greatest factor of 6986 is 6986.

What are the Factors of 6993?

Factors of 6993 are . There are integers that are factors of 6993. The greatest factor of 6993 is 6993.

How to Find the GCF of 6986 and 6993?

Greatest Common Factor of 6986 and 6993 = 7 Step 1: Find the prime factorization of 6986 6986 = [1, 2, 7, 14, 499, 998, 3493, 6986] Step 2: Find the prime factorization of 6993 6993 = [1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[7] = 7 Step 4: Therefore, the greatest common factor of 6986 and 6993 is 7.

GCF of 6986 and 6993

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

Want to know what the GCF of 6986 and 6993 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 6986 and 6993. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 6986, 6993 using Factoring

In this method, we have to list the factors of 6986 and 6993 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 6986 are 1 , 2 , 7 , 14 , 499 , 998 , 3493 , and 6986

The factors of 6993 are 1 , 3 , 7 , 9 , 21 , 27 , 37 , 63 , 111 , 189 , 259 , 333 , 777 , 999 , 2331 , and 6993

As you can see from the aforementioned lists, the largest number that is present in both lists is 7. Therefore, we can determine that the GCF of 6986 and 6993 is 7.

Greatest Common Factor of 6986, 6993 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 6986 and 6993 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.

7	6986, 6993
	998, 999

From the picture, we can see that 998 and 999 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

7 = 7

Hence, the GCF of 6986 and 6993 is 7.

Find the GCF of 6986 and 6993

Given numbers are 6986 and 6993

To find the greatest common factor of 6986 and 6993

The GCF of 6986 and 6993 is 7.

FAQs on GCF of 6986 and 6993

1. What are the LCM and GCF of 6986 and 6993?

The LCM and GCF of 6986 and 6993 are 6979014 and 7.

2. How to get the GCF of 6986 and 6993?

The GCF of 6986 and 6993 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 6986, 6993?

The 2 different methods to find the greatest common factor of 6986 and 6993 are prime factorization and factors of both numbers.