What are the Factors of 300?

Factors of 300 are . There are integers that are factors of 300. The greatest factor of 300 is 300.

What are the Factors of 304?

Factors of 304 are . There are integers that are factors of 304. The greatest factor of 304 is 304.

How to Find the GCF of 300 and 304?

Greatest Common Factor of 300 and 304 = 4 Step 1: Find the prime factorization of 300 300 = [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300] Step 2: Find the prime factorization of 304 304 = [1, 2, 4, 8, 16, 19, 38, 76, 152, 304] 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 300 and 304 is 4.

What are the Factors of 300?

Factors of 300 are . There are integers that are factors of 300. The greatest factor of 300 is 300.

What are the Factors of 304?

Factors of 304 are . There are integers that are factors of 304. The greatest factor of 304 is 304.

How to Find the GCF of 300 and 304?

Greatest Common Factor of 300 and 304 = 4 Step 1: Find the prime factorization of 300 300 = [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300] Step 2: Find the prime factorization of 304 304 = [1, 2, 4, 8, 16, 19, 38, 76, 152, 304] 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 300 and 304 is 4.

GCF of 300 and 304

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

Want to know what the GCF of 300 and 304 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 300 and 304. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 300, 304 using Factoring

In this method, we have to list the factors of 300 and 304 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 300 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 100 , 150 , and 300

The factors of 304 are 1 , 2 , 4 , 8 , 16 , 19 , 38 , 76 , 152 , and 304

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 300 and 304 is 4.

Greatest Common Factor of 300, 304 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 300 and 304 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	300, 304
2	150, 152
	75, 76

From the picture, we can see that 75 and 76 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 300 and 304 is 4.

Find the GCF of 300 and 304

Given numbers are 300 and 304

To find the greatest common factor of 300 and 304

The GCF of 300 and 304 is 4.

FAQs on GCF of 300 and 304

1. What are the LCM and GCF of 300 and 304?

The LCM and GCF of 300 and 304 are 22800 and 4.

2. How to get the GCF of 300 and 304?

The GCF of 300 and 304 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 300, 304?

The 2 different methods to find the greatest common factor of 300 and 304 are prime factorization and factors of both numbers.