What are the Factors of 404?

Factors of 404 are . There are integers that are factors of 404. The greatest factor of 404 is 404.

What are the Factors of 412?

Factors of 412 are . There are integers that are factors of 412. The greatest factor of 412 is 412.

How to Find the GCF of 404 and 412?

Greatest Common Factor of 404 and 412 = 4 Step 1: Find the prime factorization of 404 404 = [1, 2, 4, 101, 202, 404] Step 2: Find the prime factorization of 412 412 = [1, 2, 4, 103, 206, 412] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 2] = 4 Step 4: Therefore, the greatest common factor of 404 and 412 is 4.

What are the Factors of 404?

Factors of 404 are . There are integers that are factors of 404. The greatest factor of 404 is 404.

What are the Factors of 412?

Factors of 412 are . There are integers that are factors of 412. The greatest factor of 412 is 412.

How to Find the GCF of 404 and 412?

Greatest Common Factor of 404 and 412 = 4 Step 1: Find the prime factorization of 404 404 = [1, 2, 4, 101, 202, 404] Step 2: Find the prime factorization of 412 412 = [1, 2, 4, 103, 206, 412] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[2, 2] = 4 Step 4: Therefore, the greatest common factor of 404 and 412 is 4.

GCF of 404 and 412

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

Want to know what the GCF of 404 and 412 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 404 and 412. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 404, 412 using Factoring

In this method, we have to list the factors of 404 and 412 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 404 are 1 , 2 , 4 , 101 , 202 , and 404

The factors of 412 are 1 , 2 , 4 , 103 , 206 , and 412

As you can see from the aforementioned lists, the largest number that is present in both lists is 4. Therefore, we can determine that the GCF of 404 and 412 is 4.

Greatest Common Factor of 404, 412 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 404 and 412 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	404, 412
2	202, 206
	101, 103

From the picture, we can see that 101 and 103 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

2 x 2 = 4

Hence, the GCF of 404 and 412 is 4.

Find the GCF of 404 and 412

Given numbers are 404 and 412

To find the greatest common factor of 404 and 412

The GCF of 404 and 412 is 4.

FAQs on GCF of 404 and 412

1. What are the LCM and GCF of 404 and 412?

The LCM and GCF of 404 and 412 are 41612 and 4.

2. How to get the GCF of 404 and 412?

The GCF of 404 and 412 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 404, 412?

The 2 different methods to find the greatest common factor of 404 and 412 are prime factorization and factors of both numbers.