What are the Factors of 284?

Factors of 284 are . There are integers that are factors of 284. The greatest factor of 284 is 284.

What are the Factors of 290?

Factors of 290 are . There are integers that are factors of 290. The greatest factor of 290 is 290.

How to Find the GCF of 284 and 290?

Greatest Common Factor of 284 and 290 = 2 Step 1: Find the prime factorization of 284 284 = [1, 2, 4, 71, 142, 284] Step 2: Find the prime factorization of 290 290 = [1, 2, 5, 10, 29, 58, 145, 290] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 284 and 290 is 2.

What are the Factors of 284?

Factors of 284 are . There are integers that are factors of 284. The greatest factor of 284 is 284.

What are the Factors of 290?

Factors of 290 are . There are integers that are factors of 290. The greatest factor of 290 is 290.

How to Find the GCF of 284 and 290?

Greatest Common Factor of 284 and 290 = 2 Step 1: Find the prime factorization of 284 284 = [1, 2, 4, 71, 142, 284] Step 2: Find the prime factorization of 290 290 = [1, 2, 5, 10, 29, 58, 145, 290] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2] = 2 Step 4: Therefore, the greatest common factor of 284 and 290 is 2.

GCF of 284 and 290

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

Want to know what the GCF of 284 and 290 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 284 and 290. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 284, 290 using Factoring

In this method, we have to list the factors of 284 and 290 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 284 are 1 , 2 , 4 , 71 , 142 , and 284

The factors of 290 are 1 , 2 , 5 , 10 , 29 , 58 , 145 , and 290

As you can see from the aforementioned lists, the largest number that is present in both lists is 2. Therefore, we can determine that the GCF of 284 and 290 is 2.

Greatest Common Factor of 284, 290 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 284 and 290 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.

2	284, 290
	142, 145

From the picture, we can see that 142 and 145 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 = 2

Hence, the GCF of 284 and 290 is 2.

Find the GCF of 284 and 290

Given numbers are 284 and 290

To find the greatest common factor of 284 and 290

The GCF of 284 and 290 is 2.

FAQs on GCF of 284 and 290

1. What are the LCM and GCF of 284 and 290?

The LCM and GCF of 284 and 290 are 41180 and 2.

2. How to get the GCF of 284 and 290?

The GCF of 284 and 290 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 284, 290?

The 2 different methods to find the greatest common factor of 284 and 290 are prime factorization and factors of both numbers.