What are the Factors of 900?

Factors of 900 are . There are integers that are factors of 900. The greatest factor of 900 is 900.

What are the Factors of 904?

Factors of 904 are . There are integers that are factors of 904. The greatest factor of 904 is 904.

How to Find the GCF of 900 and 904?

Greatest Common Factor of 900 and 904 = 4 Step 1: Find the prime factorization of 900 900 = [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900] Step 2: Find the prime factorization of 904 904 = [1, 2, 4, 8, 113, 226, 452, 904] 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 900 and 904 is 4.

What are the Factors of 900?

Factors of 900 are . There are integers that are factors of 900. The greatest factor of 900 is 900.

What are the Factors of 904?

Factors of 904 are . There are integers that are factors of 904. The greatest factor of 904 is 904.

How to Find the GCF of 900 and 904?

Greatest Common Factor of 900 and 904 = 4 Step 1: Find the prime factorization of 900 900 = [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900] Step 2: Find the prime factorization of 904 904 = [1, 2, 4, 8, 113, 226, 452, 904] 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 900 and 904 is 4.

GCF of 900 and 904

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

Want to know what the GCF of 900 and 904 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 900 and 904. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 900, 904 using Factoring

In this method, we have to list the factors of 900 and 904 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 900 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 , and 900

The factors of 904 are 1 , 2 , 4 , 8 , 113 , 226 , 452 , and 904

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 900 and 904 is 4.

Greatest Common Factor of 900, 904 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 900 and 904 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	900, 904
2	450, 452
	225, 226

From the picture, we can see that 225 and 226 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 900 and 904 is 4.

Find the GCF of 900 and 904

Given numbers are 900 and 904

To find the greatest common factor of 900 and 904

The GCF of 900 and 904 is 4.

FAQs on GCF of 900 and 904

1. What are the LCM and GCF of 900 and 904?

The LCM and GCF of 900 and 904 are 203400 and 4.

2. How to get the GCF of 900 and 904?

The GCF of 900 and 904 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 900, 904?

The 2 different methods to find the greatest common factor of 900 and 904 are prime factorization and factors of both numbers.