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GCF of 207, 414

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

Are you looking for a way to calculate the greatest common factor of 207, 414 ? Well, you’re in luck! In this article, we will be showing you how to use two different methods to find the GCF of 207, 414. We also provide a free GCF of Two or More Numbers Calculator to obtain instant results.

 

GCF of:

Detailed Solution to Find GCF of 207, 414

Given numbers are 207, 414
The greatest common factor of 207, 414 can be found by using the following 2 different methods.
The GCF of 207, 414 is 207.

GCF of 207,414 Using Prime Factorization Method

Prime factorization is basically division by prime numbers only. Keep dividing all numbers by the same prime number, until the numbers can no longer be divided by a single prime number. Then, multiply all the prime numbers that are on the left side.

3 207, 414
3 69, 138
23 23, 46
1, 2

∴ Thus, the GCF of given numbers is 3 x 3 x 23 = 207

How to Find the Greatest Common Factor of 207,414 using the Common Factor Method?

The common factor method requires listing down all the factors of 207,414 that divide each of these numbers without leaving a remainder. To begin, let us list down the factors

list down the factors of 207

1,3,9,23,69,207

list down the factors of 414

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

Once you have listed down the factors, all you have to do is look for the highest factor that appears in all the three aforementioned lists. The greatest number that we can see in all lists is 207 . Therefore, the GCF of 207,414 is 207

Frequently Asked Questions on GCF of 207, 414

1. What is the GCF of 207, 414 ?

Answer: GCF of 207, 414 is 207.

2. How to calculate the GCF of 207, 414 ?

Answer: You can use two different methods: listing down the factors, and prime factorization. If you want to use the listing method, then simply write down all the factors of 207, 414. Then, select the greatest number that appears in lists. From this, you will see that the GCF is 207. Next, you can also use the prime factorization method to divide the numbers by prime numbers. Then, multiply the prime numbers on the side to get your answer, which is 207.