What are the Factors of 200?

Factors of 200 are . There are integers that are factors of 200. The greatest factor of 200 is 200.

What are the Factors of 205?

Factors of 205 are . There are integers that are factors of 205. The greatest factor of 205 is 205.

How to Find the GCF of 200 and 205?

Greatest Common Factor of 200 and 205 = 5 Step 1: Find the prime factorization of 200 200 = [1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200] Step 2: Find the prime factorization of 205 205 = [1, 5, 41, 205] 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 200 and 205 is 5.

What are the Factors of 200?

Factors of 200 are . There are integers that are factors of 200. The greatest factor of 200 is 200.

What are the Factors of 205?

Factors of 205 are . There are integers that are factors of 205. The greatest factor of 205 is 205.

How to Find the GCF of 200 and 205?

Greatest Common Factor of 200 and 205 = 5 Step 1: Find the prime factorization of 200 200 = [1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200] Step 2: Find the prime factorization of 205 205 = [1, 5, 41, 205] 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 200 and 205 is 5.

GCF of 200 and 205

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

Want to know what the GCF of 200 and 205 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 200 and 205. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 200, 205 using Factoring

In this method, we have to list the factors of 200 and 205 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 200 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , and 200

The factors of 205 are 1 , 5 , 41 , and 205

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 200 and 205 is 5.

Greatest Common Factor of 200, 205 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 200 and 205 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	200, 205
	40, 41

From the picture, we can see that 40 and 41 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 200 and 205 is 5.

Find the GCF of 200 and 205

Given numbers are 200 and 205

To find the greatest common factor of 200 and 205

The GCF of 200 and 205 is 5.

FAQs on GCF of 200 and 205

1. What are the LCM and GCF of 200 and 205?

The LCM and GCF of 200 and 205 are 8200 and 5.

2. How to get the GCF of 200 and 205?

The GCF of 200 and 205 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 200, 205?

The 2 different methods to find the greatest common factor of 200 and 205 are prime factorization and factors of both numbers.