What are the Factors of 208?

Factors of 208 are . There are integers that are factors of 208. The greatest factor of 208 is 208.

What are the Factors of 213?

Factors of 213 are . There are integers that are factors of 213. The greatest factor of 213 is 213.

How to Find the GCF of 208 and 213?

Greatest Common Factor of 208 and 213 = 1 Step 1: Find the prime factorization of 208 208 = [1, 2, 4, 8, 13, 16, 26, 52, 104, 208] Step 2: Find the prime factorization of 213 213 = [1, 3, 71, 213] 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 208 and 213 is 1.

What are the Factors of 208?

Factors of 208 are . There are integers that are factors of 208. The greatest factor of 208 is 208.

What are the Factors of 213?

Factors of 213 are . There are integers that are factors of 213. The greatest factor of 213 is 213.

How to Find the GCF of 208 and 213?

Greatest Common Factor of 208 and 213 = 1 Step 1: Find the prime factorization of 208 208 = [1, 2, 4, 8, 13, 16, 26, 52, 104, 208] Step 2: Find the prime factorization of 213 213 = [1, 3, 71, 213] 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 208 and 213 is 1.

GCF of 208 and 213

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

Want to know what the GCF of 208 and 213 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 208 and 213. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 208, 213 using Factoring

In this method, we have to list the factors of 208 and 213 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 208 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 52 , 104 , and 208

The factors of 213 are 1 , 3 , 71 , and 213

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 208 and 213 is 1.

Greatest Common Factor of 208, 213 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 208 and 213 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.

208, 213

From the picture, we can see that 208 and 213 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 208 and 213 is 1.

Find the GCF of 208 and 213

Given numbers are 208 and 213

To find the greatest common factor of 208 and 213

The GCF of 208 and 213 is 1.

FAQs on GCF of 208 and 213

1. What are the LCM and GCF of 208 and 213?

The LCM and GCF of 208 and 213 are 44304 and 1.

2. How to get the GCF of 208 and 213?

The GCF of 208 and 213 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 208, 213?

The 2 different methods to find the greatest common factor of 208 and 213 are prime factorization and factors of both numbers.