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 902?

Factors of 902 are . There are integers that are factors of 902. The greatest factor of 902 is 902.

How to Find the GCF of 900 and 902?

Greatest Common Factor of 900 and 902 = 2 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 902 902 = [1, 2, 11, 22, 41, 82, 451, 902] 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 900 and 902 is 2.

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 902?

Factors of 902 are . There are integers that are factors of 902. The greatest factor of 902 is 902.

How to Find the GCF of 900 and 902?

Greatest Common Factor of 900 and 902 = 2 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 902 902 = [1, 2, 11, 22, 41, 82, 451, 902] 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 900 and 902 is 2.

GCF of 900 and 902

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

Want to know what the GCF of 900 and 902 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 902. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 900, 902 using Factoring

In this method, we have to list the factors of 900 and 902 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 902 are 1 , 2 , 11 , 22 , 41 , 82 , 451 , and 902

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 900 and 902 is 2.

Greatest Common Factor of 900, 902 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 900 and 902 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, 902
	450, 451

From the picture, we can see that 450 and 451 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 900 and 902 is 2.

Find the GCF of 900 and 902

Given numbers are 900 and 902

To find the greatest common factor of 900 and 902

The GCF of 900 and 902 is 2.

FAQs on GCF of 900 and 902

1. What are the LCM and GCF of 900 and 902?

The LCM and GCF of 900 and 902 are 405900 and 2.

2. How to get the GCF of 900 and 902?

The GCF of 900 and 902 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, 902?

The 2 different methods to find the greatest common factor of 900 and 902 are prime factorization and factors of both numbers.