What are the Factors of 6995?

Factors of 6995 are . There are integers that are factors of 6995. The greatest factor of 6995 is 6995.

What are the Factors of 7000?

Factors of 7000 are . There are integers that are factors of 7000. The greatest factor of 7000 is 7000.

What are the Factors of 6995?

Factors of 6995 are . There are integers that are factors of 6995. The greatest factor of 6995 is 6995.

What are the Factors of 7000?

Factors of 7000 are . There are integers that are factors of 7000. The greatest factor of 7000 is 7000.

GCF of 6995 and 7000

Q: How to Find the GCF of 6995 and 7000?

Greatest Common Factor of 6995 and 7000 = 5 Step 1: Find the prime factorization of 6995 6995 = [1, 5, 1399, 6995] Step 2: Find the prime factorization of 7000 7000 = [1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[5] = 5 Step 4: Therefore, the greatest common factor of 6995 and 7000 is 5.

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

Want to know what the GCF of 6995 and 7000 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 6995 and 7000. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 6995, 7000 using Factoring

In this method, we have to list the factors of 6995 and 7000 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 6995 are 1 , 5 , 1399 , and 6995

The factors of 7000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 20 , 25 , 28 , 35 , 40 , 50 , 56 , 70 , 100 , 125 , 140 , 175 , 200 , 250 , 280 , 350 , 500 , 700 , 875 , 1000 , 1400 , 1750 , 3500 , and 7000

As you can see from the aforementioned lists, the largest number that is present in both lists is 5. Therefore, we can determine that the GCF of 6995 and 7000 is 5.

Greatest Common Factor of 6995, 7000 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 6995 and 7000 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.

5	6995, 7000
	1399, 1400

From the picture, we can see that 1399 and 1400 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

5 = 5

Hence, the GCF of 6995 and 7000 is 5.

Find the GCF of 6995 and 7000

Given numbers are 6995 and 7000

To find the greatest common factor of 6995 and 7000

The GCF of 6995 and 7000 is 5.

FAQs on GCF of 6995 and 7000

1. What are the LCM and GCF of 6995 and 7000?

The LCM and GCF of 6995 and 7000 are 9793000 and 5.

2. How to get the GCF of 6995 and 7000?

The GCF of 6995 and 7000 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 6995, 7000?

The 2 different methods to find the greatest common factor of 6995 and 7000 are prime factorization and factors of both numbers.