What are the Factors of 720?

Factors of 720 are . There are integers that are factors of 720. The greatest factor of 720 is 720.

What are the Factors of 723?

Factors of 723 are . There are integers that are factors of 723. The greatest factor of 723 is 723.

How to Find the GCF of 720 and 723?

Greatest Common Factor of 720 and 723 = 3 Step 1: Find the prime factorization of 720 720 = [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720] Step 2: Find the prime factorization of 723 723 = [1, 3, 241, 723] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 720 and 723 is 3.

What are the Factors of 720?

Factors of 720 are . There are integers that are factors of 720. The greatest factor of 720 is 720.

What are the Factors of 723?

Factors of 723 are . There are integers that are factors of 723. The greatest factor of 723 is 723.

How to Find the GCF of 720 and 723?

Greatest Common Factor of 720 and 723 = 3 Step 1: Find the prime factorization of 720 720 = [1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720] Step 2: Find the prime factorization of 723 723 = [1, 3, 241, 723] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[3] = 3 Step 4: Therefore, the greatest common factor of 720 and 723 is 3.

GCF of 720 and 723

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

Want to know what the GCF of 720 and 723 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 720 and 723. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 720, 723 using Factoring

In this method, we have to list the factors of 720 and 723 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 720 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 15 , 16 , 18 , 20 , 24 , 30 , 36 , 40 , 45 , 48 , 60 , 72 , 80 , 90 , 120 , 144 , 180 , 240 , 360 , and 720

The factors of 723 are 1 , 3 , 241 , and 723

As you can see from the aforementioned lists, the largest number that is present in both lists is 3. Therefore, we can determine that the GCF of 720 and 723 is 3.

Greatest Common Factor of 720, 723 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 720 and 723 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.

3	720, 723
	240, 241

From the picture, we can see that 240 and 241 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

3 = 3

Hence, the GCF of 720 and 723 is 3.

Find the GCF of 720 and 723

Given numbers are 720 and 723

To find the greatest common factor of 720 and 723

The GCF of 720 and 723 is 3.

FAQs on GCF of 720 and 723

1. What are the LCM and GCF of 720 and 723?

The LCM and GCF of 720 and 723 are 173520 and 3.

2. How to get the GCF of 720 and 723?

The GCF of 720 and 723 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 720, 723?

The 2 different methods to find the greatest common factor of 720 and 723 are prime factorization and factors of both numbers.