What are the Factors of 784?

Factors of 784 are . There are integers that are factors of 784. The greatest factor of 784 is 784.

What are the Factors of 789?

Factors of 789 are . There are integers that are factors of 789. The greatest factor of 789 is 789.

How to Find the GCF of 784 and 789?

Greatest Common Factor of 784 and 789 = 1 Step 1: Find the prime factorization of 784 784 = [1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784] Step 2: Find the prime factorization of 789 789 = [1, 3, 263, 789] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 784 and 789 is 1.

What are the Factors of 784?

Factors of 784 are . There are integers that are factors of 784. The greatest factor of 784 is 784.

What are the Factors of 789?

Factors of 789 are . There are integers that are factors of 789. The greatest factor of 789 is 789.

How to Find the GCF of 784 and 789?

Greatest Common Factor of 784 and 789 = 1 Step 1: Find the prime factorization of 784 784 = [1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784] Step 2: Find the prime factorization of 789 789 = [1, 3, 263, 789] Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf: GCF[] = 1 Step 4: Therefore, the greatest common factor of 784 and 789 is 1.

GCF of 784 and 789

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

Want to know what the GCF of 784 and 789 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 784 and 789. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.

Detailed Solution to Calculate GCF of 784, 789 using Factoring

In this method, we have to list the factors of 784 and 789 separately and then select the highest number that appears in both lists. This will be your greatest common factor.

The factors of 784 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 49 , 56 , 98 , 112 , 196 , 392 , and 784

The factors of 789 are 1 , 3 , 263 , and 789

As you can see from the aforementioned lists, the largest number that is present in both lists is 1. Therefore, we can determine that the GCF of 784 and 789 is 1.

Greatest Common Factor of 784, 789 with Prime Factorization

This is prime factorization. Essentially, you have to divide both 784 and 789 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.

784, 789

From the picture, we can see that 784 and 789 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.

= 1

Hence, the GCF of 784 and 789 is 1.

Find the GCF of 784 and 789

Given numbers are 784 and 789

To find the greatest common factor of 784 and 789

The GCF of 784 and 789 is 1.

FAQs on GCF of 784 and 789

1. What are the LCM and GCF of 784 and 789?

The LCM and GCF of 784 and 789 are 618576 and 1.

2. How to get the GCF of 784 and 789?

The GCF of 784 and 789 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 784, 789?

The 2 different methods to find the greatest common factor of 784 and 789 are prime factorization and factors of both numbers.