What are the Factors of 72?

Factors of 72 are . There are integers that are factors of 72. The greatest factor of 72 is 72.

What are the Factors of 80?

Factors of 80 are . There are integers that are factors of 80. The greatest factor of 80 is 80.

How to Find the GCF of 72 and 80?

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

What are the Factors of 72?

Factors of 72 are . There are integers that are factors of 72. The greatest factor of 72 is 72.

What are the Factors of 80?

Factors of 80 are . There are integers that are factors of 80. The greatest factor of 80 is 80.

How to Find the GCF of 72 and 80?

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

GCF of 72 and 80

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

Want to know what the GCF of 72 and 80 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 72 and 80. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 72, 80 using Factoring

In this method, we have to list the factors of 72 and 80 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 72 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , and 72

The factors of 80 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 40 , and 80

As you can see from the aforementioned lists, the largest number that is present in both lists is 8. Therefore, we can determine that the GCF of 72 and 80 is 8.

Greatest Common Factor of 72, 80 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 72 and 80 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	72, 80
2	36, 40
2	18, 20
	9, 10

From the picture, we can see that 9 and 10 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 x 2 = 8

Hence, the GCF of 72 and 80 is 8.

Find the GCF of 72 and 80

Given numbers are 72 and 80

To find the greatest common factor of 72 and 80

The GCF of 72 and 80 is 8.

FAQs on GCF of 72 and 80

1. What are the LCM and GCF of 72 and 80?

The LCM and GCF of 72 and 80 are 720 and 8.

2. How to get the GCF of 72 and 80?

The GCF of 72 and 80 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 72, 80?

The 2 different methods to find the greatest common factor of 72 and 80 are prime factorization and factors of both numbers.