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 305?

Factors of 305 are . There are integers that are factors of 305. The greatest factor of 305 is 305.

How to Find the GCF of 300 and 305?

Greatest Common Factor of 300 and 305 = 5 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 305 305 = [1, 5, 61, 305] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[5] = 5 Step 4: Therefore, the greatest common factor of 300 and 305 is 5.

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 305?

Factors of 305 are . There are integers that are factors of 305. The greatest factor of 305 is 305.

How to Find the GCF of 300 and 305?

Greatest Common Factor of 300 and 305 = 5 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 305 305 = [1, 5, 61, 305] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[5] = 5 Step 4: Therefore, the greatest common factor of 300 and 305 is 5.

GCF of 300 and 305

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

Want to know what the GCF of 300 and 305 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 305. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 300, 305 using Factoring

In this method, we have to list the factors of 300 and 305 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 305 are 1 , 5 , 61 , and 305

As you can see from the aforementioned lists, the largest number that is present in both lists is 5. Therefore, we can determine that the GCF of 300 and 305 is 5.

Greatest Common Factor of 300, 305 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 300 and 305 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.

5	300, 305
	60, 61

From the picture, we can see that 60 and 61 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

5 = 5

Hence, the GCF of 300 and 305 is 5.

Find the GCF of 300 and 305

Given numbers are 300 and 305

To find the greatest common factor of 300 and 305

The GCF of 300 and 305 is 5.

FAQs on GCF of 300 and 305

1. What are the LCM and GCF of 300 and 305?

The LCM and GCF of 300 and 305 are 18300 and 5.

2. How to get the GCF of 300 and 305?

The GCF of 300 and 305 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, 305?

The 2 different methods to find the greatest common factor of 300 and 305 are prime factorization and factors of both numbers.